CBSE Class 10 Maths HOTs Trigonometry

Please refer to CBSE Class 10 Maths HOTs Trigonometry. Download HOTS questions and answers for Class 10 Mathematics. Read CBSE Class 10 Mathematics HOTs for Chapter 8 Introduction to Trigonometry below and download in pdf. High Order Thinking Skills questions come in exams for Mathematics in Class 10 and if prepared properly can help you to score more marks. You can refer to more chapter wise Class 10 Mathematics HOTS Questions with solutions and also get latest topic wise important study material as per NCERT book for Class 10 Mathematics and all other subjects for free on Studiestoday designed as per latest CBSE, NCERT and KVS syllabus and pattern for Class 10

Chapter 8 Introduction to Trigonometry Class 10 Mathematics HOTS

Class 10 Mathematics students should refer to the following high order thinking skills questions with answers for Chapter 8 Introduction to Trigonometry in Class 10. These HOTS questions with answers for Class 10 Mathematics will come in exams and help you to score good marks

HOTS Questions Chapter 8 Introduction to Trigonometry Class 10 Mathematics with Answers

CASE STUDY 

Mohan, a class X student is a big foodie. Once his mother has made a sandwich for him. A thought has come into his mind by seeing a piece of sandwich. He thought if he increases the base length and height, he can eat a bigger piece of sandwich.
Answer the following questions accordingly:

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Question. If the length of the base is 12 cm and the height is 5 cm then the length of the hypotenuse of that sandwich is:
(a) 17 cm
(b) 7 cm
(c) 169 cm
(d) 13
Answer : D

Question. 2.What will be the value of cosine of the angle between hypotenuse and the height of sandwich?
(a) (5/13)cm
(b) (12/13)cm
(c) (13/5)cm
(d) (13/12)cm
Answer : A

Question. If he increases the base length to 15 cm and the hypotenuse to 17 cm, then the height of the sandwich is :
(a) 7 cm
(b) 8 cm
(c) 32 cm
(d) none of these
Answer : B

Question. If the value of tan θ is √3, then sin- equals to:
(a) 1/√2
(b) √3/2
(c) 1/2
(d) 1
Answer : B

Question. The value of tan 45° + cot 45°
(a) 1
(b) 2
(c) 3
(d) 4
Answer : B

 

Three friends Ashwin, Bhagath & Amal are playing hide and seek in a park. Ashwin, Bhagath hide in the shrubs and Amal have to find both of them. If the positions of three friends are at A, B and C respectively as shown in the figure and forms a right-angled triangle, such that AB =9 m, BC= 3√3 m and ∠𝐵 =90°.Now answer the following questions

""CBSE-Class-10-Mathematics-Introduction-to-Trigonometry-3
On the basis of above answer the following questions

Question. The measure of ∠ 𝐴 is
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Answer : A

Question. The measure of ∠𝐶 is
(a) 30°
(b) 45°
(c) 60°
(d) 90°
Answer : C

Question. The length of AC is
(a) 8√2
(b) 6√3
(c) 4√2
(d) 2√3
Answer : B

Question. cos2𝐴=
(a) 0
(b) 1/2
(c) 1/√2
(d) √3/2
Answer : B

Question. sin(𝐶/2) =
(a) 0
(b) 1/2
(c) 1/√2
(d) √3/2
Answer : B

 

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Please refer to link below to download pdf file of CBSE Class 10 Trigonometry HOTs.

 

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ADDITIONAL QUESTION

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Please refer to link below for CBSE Class 10 Mathematics HOTs Trigonometry Set A.

CBSE Class 10 Mathematics HOTs Trigonometry Set B-1

CBSE Class 10 Mathematics HOTs Trigonometry Set B-2

 CBSE Class 10 Mathematics HOTs Trigonometry Set B-3

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CBSE Class 10 Mathematics HOTs Trigonometry Set B-5

CBSE Class 10 Mathematics HOTs Trigonometry Set B-6

CBSE Class 10 Mathematics HOTs Trigonometry Set B-8

Please refer to link below for CBSE Class 10 Mathematics HOTs Trigonometry Set B

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Please refer to link below to download pdf file of CBSE Class 10 Mathematics HOTs Trigonometry

TRIGONOMETRY
 
Q1. If θ = 45°, find the value of sec² θ.
 
Q2 Evaluate:  cos 60°cos 45° - sin60° sin 45°.
 
Q3 Find the value of tan15°.tan25°.tan30°.tan65°.tan85°
 
Q4 If θ is a positive acute angle such that sec θ = cosec60°, then find the value of 2 cos² θ-1. Q5 Find the value of sin65° - cos25° without using tables. 
 
Q6 Can cos θ = 5/4 be possible? 
 
Q7 If sec 5A = cosec(A - 36°), find the value of A.
 
Q8 If 2 sin x/2 – 1 = 0, find the value of x.
 
Q9 If A, B and C are interior angles of  ∆ ABC, then prove that cos B + C/2 = sin A/2. 
 
Q10 Find the value of 9 sec² A – 9 tan²A. 
 
(Question of 2/3 marks)
 
Q1 Prove that Sin 6 θ + cos 6 θ = 1 – 3 sin² θcos² θ. 
 
Q2 From the figure find the value of sin x and cos y.
CBSE_Class_10_maths_Trigonometry_1
 
Q3 If 5 tan θ – 4 = θ, then find the value of 5 sin θ – 4 cos θ/5 sin θ + 4 cos θ 
 
Q4 In ∆ ABC,  ∠c = 90°, tan A =   1/√3 and tan B = √3. Prove that sinA .cosB + cos A .sin B =1. 
 
Q5. If  ∠XAC = 45°, find the value of x and y in the figure
CBSE_Class_10_maths_Trigonometry_2. 
Answers of 1 mark  Questions
 
1. 2                 2. 1 −√3 / 2√2              3.  1/√3
 
4. 1/2              5. 0                               6.No
 
7. 210                8.900                             10. -9 
 
Answers of 2/3 mark Questions
 
2. sinx= 4/5                      cos y= 12/13 
 
5. x=20√2cm      y=20 m 
 
3. 0
 
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Questions
1 mark questions
 
Q. 1 Write the value of sin 620 sin 280 – cos620 cos 280
 
Q. 2 Write cot A in terms of sin A.
 
Q. 3 Express sec790 + cot 610 in terms of trigonometrical ratios of angles between 00 and 450 .
 
Q. 4 If 3tanθ = 4 , then write the value of tanθ + cotθ .
 
Q. 5 If sinθ – cosθ = 0 , 00 <θ < 900 , then write the value of 'θ ' .
 
Q. 6 If 'θ ' , then write the value of sinθ + cos 2θ .
 
Q. 7 Write the value of sin2 740 + sin2 160 .
 
Q. 8 In ΔABC , ∠B = 900 and sinC = 4/5  what is the value of cos A?
 
Q. 9 If A and B are acute angles and sin A = cos B , than write the value of A+B.
 
Q. 10 Write the value of tan2 300 + sec2 450 .
 
Q. 11 Write the value of 9cos ec2620 – 9 tan2 280 .
 
Q. 12 If sinθ = 1/2   , write the value of sinθ – cos ecθ .
 
Q. 13 What is the value of cos2 490 – sin2 410 ?
 
Q. 14 If θ = 450 , then what is the value of 2cosec2θ + 3sec2θ ?
 
Q. 15 Write the value of sin (900 –θ )cosθ + cos(900 –θ
 
Q. 16 If tan (3x –150 ) =1, than write the value of 'x'.
 
Q. 17 In ΔABC, write tan A+ B/2  in terms of angle 'C'.
 
Q. 18 If θ = 300 , then write the value of 1 – tan2 2θ .
 
Q. 19 If tanθ + cotθ = 3 , then what is the value of tan2θ + cot2θ ?
 
Q 20 Write the value of cot (350 +θ ) – tan (550 –θ )
 
2 marks questions (Question 36 to 40 under HOTS)
 
Q. 21 If sin 2θ = cos (θ – 36)0 , 2θ and (θ – 360 ) are acute angles. Find the value of 'θ ' .
 
Q. 22 If tan (320 +θ ) = cotθ , θ and (320 +θ ) are acute angles, find the value of 'θ '.
 
Q. 23 If sin ( A+ B) =1 and ( ) cos (A – B) √3 /2  = , 00 ≤ ( A+ B) ≤ 900 , A > B, then find the values of A and B.
 
Q. 24 If θ = 300 , then find the value of 1 - Tan2θ / 1 + Tan2θ
 
Q. 25 If tanθ = √2 –1, then find the value of  2 tanθ/1 + tan2θ
 
Q. 26 If θ = 300 , then verify : cos3θ = 4cos3θ – cosθ .
 
Q. 27 Simplify : tan2 600 + 4cos2 450 + 3sec2 300 + 5cos2 900
 
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6 marks questions (Question no. 76 to 80 under HOTS)

Q. 61 From a point on the ground the angles of elevation of the bottom and the top of a water tank kept at the top of 30 m high building are 450 and 600 respectively. Find the height of the water tank.

Q. 62 A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 600 with the ground. The distance from the foot of the tree to the point where the top touches the ground is 2m. Find total height of the tree.

Q. 63 The shadow of a tower standing on a level ground is found to be 60m shorter when the sun's altitude is 600 than when it is 300 , find the height of the tower.

Q. 64 The angles of elevation of the top of a pole, from two points A and B at distances of 'a' and 'b' respectively from the base and in the same straight line with it, are complementary. Prove that the height of the pole is √ab .

Q. 65 The angles of elevation of a cloud from a point 30m above a lake is 300 and the angle of depression of its reflection in the lake is 600 . Find the height of the cloud above th lake.

Q. 66 The angles of elevation of a bird from a point on the ground is 600 , after 50 seconds flight, the elevation changes to 300 . If the bird is flying at the height of 500 √3m . Find the speed of the bird.

Q. 67 If the angle of elevation of a bird from a point metres above a Jake is α and the angle of depression of its reflection in the lake is β . Prove that the distance of the bird from the point of observation is 2a sec α /tanβ – tan α .

Q. 68 The angle of elevation of the top of a 12m tall building from a point A on the ground is 300 .A flag is hoisted at the top of the building and the angle of elevation of the flag staff from A is 450 . Find the length of flag staff and the distance of the building from A.
 
Q. 69 The angles of depression of the top and bottom of a 10m tall building from the top of a tower are 300  and 450  respectively. Find the height of opposite house.
 
Q. 70 From a window (60m high above the ground) of a house in a street, the angles of elevation and depression of the top and the foot of an other house opposite side of street are 600  and 450  respectively. Find the height of the opposite house.
 
Q. 71 A man on the deck of a ship, 18 m above water level, observes that the angle of elevation and depression respectively of the top and bottom of a cliff are 600  and 300  . Find the distance of the cliff from the ship and height of the cliff.
 
Q. 72 A flight pole 4m high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point 'A' on the ground is 600  and the angle of depression of the point 'A' from the top of the tower is 450  . Find the height of the tower.
 
Q. 73 A man, on a cliff, observes a boat at an angle of depression of 300  which is approaching the shore to the point 'A' on the immediately beneath the observer with a uniform speed, 12 minutes later, the angle of depression of the boat is found to be 600  . Find the time taken by the boat to reach the shore.
 
Q. 74 A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank, is 600  , when he retires 30 metres from the bank, he finds the angle to be 300  . Find the breadth of the river and height of the tree.
 
Q. 75 An aeroplane at an altitude of 100m observes the angles of depression of opposite points on the two banks of a river to be 300 and 450  . Find the width of the river.
 
Q. 76 A round balloon of radius 'r' subtends an angle Q at the eye of the observer while the angle of elevation of its centre is α . Prove that the height of the centre of the balloon is rsin αcosec θ/2
 
Q. 77 A ladder rests against a wall at an angle α to the horizontal. Its foot is pulled away from the wall through a distance m, so that it slides a distance n down the wall making an angle β with horizontal, show that :- m/n = cosβ - cosα / sinα - sinβ.
 
Q. 78 From an aeroplane vertically above a straight horizontal plane, the angle of depression of two consecutive kilometer stones on the opposite sides of the aeroplane are found to be θ and φ . Show that the height of the aeroplane is
tanθ .tanφ / tanθ + tanφ
 
Q. 79 At the foot of the mountain the elevation of its summit is 450 . After ascending 1000 metres towards the mountain at an inclination of 300 , the elevation is 600 . Calculate the height of the mountain.
 
Q. 80 At a point P on level grounds, the angle of elevation of a vertical tower is found to be such that its tangent is 3/4 . On walking 192 metres away from P the tangent of the angle is 5/1 2 .Find the height of the tower.
 
CBSE_ Class_10_Mathematics_Trigonometry_7
CBSE_ Class_10_Mathematics_Trigonometry_8
Chapter 01 Real Numbers
CBSE Class 10 Maths HOTs Number Systems
Chapter 02 Polynomials
CBSE Class 10 Maths HOTs Polynomials
Chapter 03 Pair of Linear Equations in Two Variables
CBSE Class 10 Maths HOTs Pair Of Linear Equations In Two Variables
Chapter 04 Quadratic Equation
CBSE Class 10 Maths HOTs Quadratic Equations
Chapter 05 Arithmetic Progressions
CBSE Class 10 Maths HOTs Arithmetic Progressions
Chapter 06 Triangles
CBSE Class 10 Maths HOTs Similar Triangles
Chapter 07 Coordinate Geometry
CBSE Class 10 Maths HOTs Co-Ordinate Geometry
Chapter 08 Introduction to Trigonometry
CBSE Class 10 Maths HOTs Trigonometry
Chapter 09 Some Applications of Trigonometry
CBSE Class 10 Maths HOTs Heights And Distances
Chapter 10 Circles
CBSE Class 10 Maths HOTs Circles
Chapter 11 Constructions
CBSE Class 10 Mathematics HOTs Constructions
Chapter 12 Areas Related to Circles
CBSE Class 10 Maths HOTs Area related to Circle
Chapter 13 Surface Areas and Volumes
CBSE Class 10 Maths HOTs Conversion Of Solids
CBSE Class 10 Maths HOTs Mensuration
CBSE Class 10 Maths HOTs Surface Area and Volumes
Chapter 14 Statistics
CBSE Class 10 Maths HOTs Statistics
Chapter 15 Probability
CBSE Class 10 Maths HOTs Probability
More HOTs for Class 10 Mathematics
CBSE Class 10 Maths HOTs Question Bank Set B
CBSE Class 10 Maths HOTs Question Bank Set C
CBSE Class 10 Maths HOTs Question Bank Set D
CBSE Class 10 Maths HOTs Question Bank Set E

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CBSE Class 10 Mathematics Chapter 8 Introduction to Trigonometry HOTS

We hope students liked the above HOTS for Chapter 8 Introduction to Trigonometry designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download the High Order Thinking Skills Questions and Answers in Pdf format and practice the questions and solutions given in above Class 10 Mathematics  HOTS Questions on daily basis. All latest HOTS with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better score in school tests and examinations. Studiestoday is the best portal for Class 10 students to get all latest study material free of cost.

HOTS for Mathematics CBSE Class 10 Chapter 8 Introduction to Trigonometry

Expert teachers of studiestoday have referred to NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 HOTS. If you download HOTS with answers for the above chapter daily, you will get higher and better marks in Class 10 test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily High Order Thinking Skills questions practice of Mathematics and its study material will help students to have stronger understanding of all concepts and also make them expert on all critical topics. You can easily download and save all HOTS for Class 10 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the HOTS which have been developed as per latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers

Chapter 8 Introduction to Trigonometry HOTS Mathematics CBSE Class 10

All HOTS given above for Class 10 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 10 can refer to the answers which have been also provided by our teachers for all HOTS of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided lot of MCQ questions for Class 10 Mathematics in the HOTS so that you can solve questions relating to all topics given in each chapter. All study material for Class 10 Mathematics students have been given on studiestoday.

Chapter 8 Introduction to Trigonometry CBSE Class 10 HOTS Mathematics

Regular HOTS practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Chapter 8 Introduction to Trigonometry concepts. HOTS play an important role in developing an understanding of Chapter 8 Introduction to Trigonometry in CBSE Class 10. Students can download and save or print all the HOTS, printable assignments, and practice sheets of the above chapter in Class 10 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter

CBSE HOTS Mathematics Class 10 Chapter 8 Introduction to Trigonometry

CBSE Class 10 Mathematics best textbooks have been used for writing the problems given in the above HOTS. If you have tests coming up then you should revise all concepts relating to Chapter 8 Introduction to Trigonometry and then take out print of the above HOTS and attempt all problems. We have also provided a lot of other HOTS for Class 10 Mathematics which you can use to further make yourself better in Mathematics.

Where can I download latest CBSE HOTS for Class 10 Mathematics Chapter 8 Introduction to Trigonometry

You can download the CBSE HOTS for Class 10 Mathematics Chapter 8 Introduction to Trigonometry for latest session from StudiesToday.com

Can I download the HOTS of Chapter 8 Introduction to Trigonometry Class 10 Mathematics in Pdf

Yes, you can click on the link above and download topic wise HOTS Questions Pdfs for Chapter 8 Introduction to Trigonometry Class 10 for Mathematics

Are the Class 10 Mathematics Chapter 8 Introduction to Trigonometry HOTS available for the latest session

Yes, the HOTS issued by CBSE for Class 10 Mathematics Chapter 8 Introduction to Trigonometry have been made available here for latest academic session

How can I download the Class 10 Mathematics Chapter 8 Introduction to Trigonometry HOTS

You can easily access the link above and download the Class 10 HOTS Mathematics Chapter 8 Introduction to Trigonometry for each topic

Is there any charge for the HOTS with solutions for Chapter 8 Introduction to Trigonometry Class 10 Mathematics

There is no charge for the HOTS and their answers for Chapter 8 Introduction to Trigonometry Class 10 CBSE Mathematics you can download everything free

What does HOTS stand for in Class 10 Mathematics Chapter 8 Introduction to Trigonometry

HOTS stands for "Higher Order Thinking Skills" in Chapter 8 Introduction to Trigonometry Class 10 Mathematics. It refers to questions that require critical thinking, analysis, and application of knowledge

How can I improve my HOTS in Class 10 Mathematics Chapter 8 Introduction to Trigonometry

Regular revision of HOTS given on studiestoday for Class 10 subject Mathematics Chapter 8 Introduction to Trigonometry can help you to score better marks in exams

Are HOTS questions important for Chapter 8 Introduction to Trigonometry Class 10 Mathematics exams

Yes, HOTS questions are important for Chapter 8 Introduction to Trigonometry Class 10 Mathematics exams as it helps to assess your ability to think critically, apply concepts, and display understanding of the subject.