CBSE Class 10 Mathematics Introduction to Trigonometry MCQs Set B

Refer to CBSE Class 10 Mathematics Introduction to Trigonometry MCQs Set B provided below available for download in Pdf. The MCQ Questions for Class 10 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CBSE, NCERT and KVS. Chapter 8 Introduction to Trigonometry Class 10 MCQ are an important part of exams for Class 10 Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 10 Mathematics and also download more latest study material for all subjects

MCQ for Class 10 Mathematics Chapter 8 Introduction to Trigonometry

Class 10 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 8 Introduction to Trigonometry in Class 10.

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

Question. What is the value of sin2 5° + sin2 10° + sin2 80° + sin2 85° ?
(a) 0
(b) 1
(c) 2
(d) 3

Answer: C

Question. If tan 26° tan19°/ x(1 tan 26° tan19° ) = cos60o, what is the value of x ?
(a) 1
(b) 2
(c) 2
(d) 3

Answer: C

Question. If 4tanΘ = 1, find the value of 4sinΘ – 2cosΘ / 4sinΘ + 3cosΘ
(a) 1/2
(b) 1/6
(c) 2/3
(d) 1/3

Answer: B

Question. If sin A + sin2 A = 1 , find the value of the expression (cos2 A + cos4 A) .
(a) 1
(b) 1/2
(c) 2
(d) 3

Answer: A

Question. Find the value of sin 15° .
(a) √3+1/√2
(b) √3 -1/√2
(c) √3+1/2√2
(d) √3 -1/2√2

Answer: D

Question. What is the value of sinθ + cos30° – tan45°+ cosec 60° + cot90° ?
(a) 7√3 – 6/6
(b) 6 + 7√3/6
(c) 0
(d) 2

Answer: A

Question. If sin θ = 1/2 , what are the respective possible values of 9 between 0 and 2π ?
(a) 210° and 300°
(b) 240° and 330°
(c) 240° and 300°
(d) 210° and 330°

Answer: D

Question. In terms of radians. what is the equivalent of 45° ?
(a) 25π
(b) 0.25π
(c) 180°π /45°
(d) 45°/π

Answer: D

Question. ΔABC is right angled at A. If AC = 8 cm and AB = 6 cm, what is the value of cosec B?
(a) 5/4
(b) 3/4
(c) 4/3
(d) 4/5

Answer: A

Question. ΔABC is right angled at A .lf BC = √2 and AB = AC =1, what is the measure of ∠B ?
(a) 60°
(b) 45°
(c) 30°
(d) 90°

Answer: B

Question. If the shadow of a boy ‘x’ metres high is 1.6m and the angle of elevation of the sun is then the value of ‘x’ is 45°
(a) 0.8 m
(b) 1.6 m
(c) 3.2 m
(d) 2 m

Answer: B

Question. If the angle of depression of an object from a 75m high tower is 30° , then the distance of the object from the tower is
(a) 25√3 m
(b) 50√3 m
(c) 100√3 m
(d) 75√3 m

Answer: D

Question. In a right triangle ABC, If AC = BC and then find its value
(a) 50√3
(b) 150 m
(c) None of these
(d) 100√3 m

Answer: D

Question. The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle of elevation of the top of the tower from the foot of the hill is 30°. If the tower is 50m high, then the height of the hill is
(a) 50√3 m
(b) 150m
(c) 150√3 m
(d) 100√3 m

Answer: B

Question. The angles of elevation of the top of a tower from two points on the ground at distances 8 m and 18 m from the base of the tower and in the same straight line with it are complementary. The height of the tower is
(a) 12 m
(b) 18 m
(c) 8 m
(d) 16 m

Answer: A

Question. Find the value of 2/3 (cos4 30o – sin4 45o) – 3 (sin2 60o – sec2 45o) + 1/4 cot2 30o
(a) 15/4
(b) 3/4
(c) 2(65/4)
(d) 4(17/24)

Answer: D

Fill in the blanks.

Question. sin A _____________ when A increases from 0° to 90°.
Answer: increases

Question. cos A _____________ when A increases from 0° to 90°.
Answer: decreases

Question. cot 90° is ___________.
Answer: 

Question. cos0° × cos10° × cos30° × cos80° × cos90° = _____________ .
Answer: 0

One words

Question. Can the value of secant of an angle be greater than 1?
Answer: Yes

Question. If 2sin2θ -cos2 θ = 2, then find the value of θ.
Answer: θ = 90°

Question. What will be the change in the value of cosq if we decrease the value of θ?
Answer: It will increase

Question. What is the reciprocal of sec A?
Answer: cos A

Question. Is tan A the reciprocal of cot A?
Answer: Yes

Question. Define an identity.
Answer: An equation which holds true for all values of the variable.

Write True or False.

Question. The value of the expression (sin70° -cos70°) is negative.
Answer: False

Question. If cosA+cos2A =1, then sin2A+sin4 A=1.    
Answer: True

Question. If tan A = 3/4 , then cos A = 4/5
Answer: True

Question. In ΔABC, if ∠A +∠C = 90°, then sin A = cosC
Answer: True

Question. cot 60° = tan (90° – 30°)
Answer: False

Question. The value of 2sinθ can be a+1/a, where a is a positive number and a ≠ 1.
Answer: False

Chapter 09 Some Applications of Trigonometry
CBSE Class 10 Mathematics Application of Trigonometry MCQs

MCQs for Chapter 8 Introduction to Trigonometry Mathematics Class 10

Expert teachers of studiestoday have referred to NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 MCQs. If you download MCQs with answers for the above chapter 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 Multiple Choice Questions practice of Mathematics will help students to have stronger understanding of all concepts and also make them expert on all critical topics. After solving the questions given in the MCQs which have been developed as per latest books also refer to the NCERT solutions for Class 10 Mathematics. We have also provided lot of MCQ questions for Class 10 Mathematics so that you can solve questions relating to all topics given in each chapter. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter.

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