CBSE Class 10 Mathematics Introduction to Trigonometry VBQs

CBSE Class 10 Mathematics Introduction to Trigonometry VBQs read and download in pdf. Value Based Questions come in exams for Mathematics in Class 10 and are easy to learn and helpful in scoring good marks. You can refer to more chapter wise VBQs for Class 10 Mathematics and also get latest topic wise very useful study material as per latest NCERT book for Class 10 Mathematics and all other subjects for free on Studiestoday designed as per latest Class 10 CBSE, NCERT and KVS syllabus and examination pattern

VBQ for Class 10 Mathematics Chapter 8 Introduction to Trigonometry

Class 10 Mathematics students should refer to the following value based questions with answers for Chapter 8 Introduction to Trigonometry in Class 10. These VBQ questions with answers for Class 10 Mathematics will come in exams and help you to score good marks

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

CASE STUDY 

Raj is an electrician in a village. One day power was not there in entire village and villagers called Raj to repair the fault. After thorough inspection he found an electric fault in one of the electric pole of height 5 m and he has to repair it. He needs to reach a point 1.3m below the top of the pole to undertake the repair work
On the basis of above, answer the following question

""CBSE-Class-10-Mathematics-Introduction-to-Trigonometry

Question. When the ladder is inclined at an angle of α such that √3 tan α + 2 = 5 to the horizontal, find the angle α.
(a) 30°
(b)45°
(c) 60°
(d) 90°
Answer : C

Question. How far from the foot of the pole should he place the foot of the ladder? (Use 3 = 1.73)
(a) 2.89 m
(b) 2.14 m
(c) 3 m
(d) none of these
Answer : B

Question. In the above situation, find the value of 𝑠𝑖𝑛 ∝ 𝑐𝑜𝑠 ∝/2−𝑐𝑜𝑠 ∝ 𝑠𝑖𝑛 ∝/2
(a) 0
(b) 1
(c) 12
(d) none of these
Answer : C

Question. In the above situation if BD = 3 cm and BC = 6 cm. Find α
(a) 45°
(b) 30°
(c) 60°
(d) none of these
Answer : B

Question. If 15 cot α = 8. The value of sin α is
(a) 17/15
(b) 15/17
(c) 15/8
(d) 8/17
Answer : B

 

In the month of November, Akshay notices a tower built near his colony’s playground. He sees that it is being held by a wire, attached to the top of the tower. The wire makes an angle of 60°with the ground. Using these Information find the answers to the following questions

""CBSE-Class-10-Mathematics-Introduction-to-Trigonometry-1

Question. What is the measure of ∠𝐶𝐴𝐵 ?
(a) 15°
(b) 25°
(c) 30°
(d) 45°
Answer : C

Question. What is the sin𝑟𝑎𝑡𝑖𝑜 of ∠𝐶𝐴𝐵 ?
(a) 0
(b) 1/2
(c) 1/√2
(d) √3/2
Answer : B

Question. What is the value of cos∠𝐴𝐶𝐵 ?
(a) 0
(b) 1/2
(c) 1/√2
(d) √3/2
Answer : B

Question. 𝑠𝑖𝑛2∠𝐶𝐴𝐵 + 𝑐𝑜𝑠2∠𝐶𝐴𝐵 =
(a) 0
(b) 1
(c) 2
(d) 3
Answer : B

Question. What is the value of tan90?
(a) 0
(b) 1
(c) 1/2
(d) not defined
Answer : D

 

Very Short Answer type Questions

Question. If tan 3x = sin450cos45 0 + sin300 then value of x is
Answer : 
15°

Question. The value of 𝑐𝑜𝑠30 +𝑠𝑖𝑛60/1+𝑐𝑜𝑠60 𝑠𝑖𝑛30
Answer : 
4√3/5

Question. If cot α = 7/8, then the value of ( 1+𝑠𝑖𝑛𝑎)(1−𝑠𝑖𝑛𝑎)/(1+𝑐𝑜𝑠𝑎 )(1−𝑐𝑜𝑠𝑎)
Answer : 
49/64

Question. In a triangle ABC i, right angled at C if <A = 300, AB = 40 units find BC
Answer : 
20 UNITS

Question. In triangle ABC ,right angled triangled at B, AB = 5cm and <ACB = 300,then the length of the side AC is
Answer : 
10

Question. If in a triangle ABC right angled at B , AB = 6 units and BC = 8 units then the value of the sinA cosC+cosAsinC
Answer : 
1

Question. In right triangle ABC, right angled at B, < ACB = ∅, AB = 2 cm and BC = 1 cm then the value of sin2 ∅ + tan2
Answer : 
24/5

Question. In triangle OPQ, right angled at P, OP = 7𝑐𝑚, and the OP-PQ = 1𝑐𝑚,the value of sinQ is
Answer : 
7/25

Question. In triangle ABC right angled at B if <A = <C then value of sinA sinB + cos A cosB will be
Answer : 
1/√2

Question. If x = 2cos2 α and y = 2sin2α +1 then the value of x + y
Answer : 
3

Question. If tan β = 𝑎/𝑏 , then the value of
Answer : 
(a2 + b2)/(a2 -b2)

Question. Given that the sin𝛽 = √3/2 and the cosα = 0,then the value of β - α is
Answer : 
30°

Question. The value of α and β if sin (α +2 β) = √3/2 and cos (α + 4β) = 0
Answer : 
α=300, β=150

Question. Triangle PQR is right angled at Q, if PQ = 5cm and RQ = 10cm then the value of sinP x cosP is
Answer : 
2/5

Question. In triangle PQR right angled at Q, PQ = 3 cm and PR = 6cm Determine ∠ 𝑃𝑅𝑄
Answer : 
30°

Question. The value of (sinα + cos α )2 + (cosα – sin α )2
Answer : 
2

Question. If tanβ = 24/7 , then the value of sinβ + cosβ is
Answer : 
31/25

Question. If 4tan α = 3 find the value of 5𝑠𝑖𝑛𝑎−3cos𝑎/5sin𝑎 + 2𝑐𝑜𝑠𝑎
Answer : 
3/23

Question. If secα = 5/7, then the value of 1−𝑡𝑎𝑛𝑎/1+𝑡𝑎𝑛𝑎
Answer : 
1/7

Question. If 8tanx = 15 then find sinx - cosx
Answer : 
7/17

Chapter 03 Pair of Linear Equations in Two Variables
CBSE Class 10 Mathematics Pair of Linear Equations in Two Variables VBQs
Chapter 13 Surface Areas and Volumes
CBSE Class 10 Mathematics Surface Areas And Volume VBQs

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CBSE Class 10 Mathematics Chapter 8 Introduction to Trigonometry VBQs

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Chapter 8 Introduction to Trigonometry VBQs Mathematics CBSE Class 10

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Chapter 8 Introduction to Trigonometry CBSE Class 10 VBQs Mathematics

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CBSE VBQs Mathematics Class 10 Chapter 8 Introduction to Trigonometry

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