RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS

RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS

These Solutions are part of RD Sharma Class 10 Solutions. Here we have given RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS

Other Exercises

Mark the correct alternative in each of the following :

Question 1.
If 6 θ is an acute angle such that cos θ =
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 1
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 2
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 3

Question 2.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 4
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 5

Question 3.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 6
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 7
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 8

Question 4.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 9
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 10
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 11

Question 5.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 12
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 13

Question 6.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 14
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 15

Question 7.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 16
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 17

Question 8.
If 6 is an acute angle such that tan2 6 = 8 \(\frac { 8 }{ 7 }\), then the value of
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 18
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 19
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 20

Question 9.
If 3 cos θ = 5 sin 6, then the value of
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 21
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 22
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 23
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 24
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 25

Question 10.
If tan2 45° – cos2 30° = x sin 45° cos 45°, then x =
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 26
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 27

Question 11.
The value of cos217° – sin2 73° is
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 28
Solution:
cos2 17° – sin2 73° = cos2 (90° – 73°) – sin2 73°
= sin2 73° – sin2 73° = 0 (c)

Question 12.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 29
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 30

Question 13.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 31
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 32

Question 14.
If A and B are complementary angles then
(a) A – sin B
(b) cos A = cos B
(c) A = tan B
(d) sec A = cosec B
Solution:
∵ A and B are complementary angles
∴ A + B = 90°
⇒ A – 90° – B
sec A = sec (90° – B) = cosec B (d)

Question 15.
If x sin (90° – θ) cot (90° – 6) – cos (90° – θ), then x =
(a) 0
(b) 1

(c) -1
(d) 2,

Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 33

Question 16.
If x tan 45° cos 60° = sin 60° cot 60°, then x is equal to
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 34
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 35

Question 17.
If angles A, B, C of a AABC form an increasing AP, then sin B =
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 36
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 37

Question 18.
If 6 is an acute angle such that sec2 θ =
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 38
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 39

Question 19.
The value of tan 1° tan 2° tan 3s tan 89° is
(a) 1
(b) -1

(c) 0
(d) None of these

Solution:
tan 1° tan 2° tan 3° tan 44° tan 45° tan 46° tan 89°
= tan 1° tan 2° tan 3° tan 44° tan 45° tan
(90° – 44°) tan (90° – 43°) tan (90° – 1°)’
= tan 1° tan 2° tan 3° tan 44° tan 45° cot
44° cot 43°….. cot 1°
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 40

Question 20.
The value of cos 1″ cos 2° cos 3° cos 180° is
(a) 1
(b) 0
(c) -1
(d) None of these
Solution:
None of these, because we deal here only an angle O<θ ≤ 90° (d)

Question 21.
The value of tan 10° tan 15° tan 75° tan 80° is
(a) -1
(b) 0
(c) 1
(d) None of these
Solution:
tan 10° tan 15° tan 75° tan 80°
= tan 10° tan 15° tan (90° – 15°) tan (90° – 10°) .
= tan 10° tan 15° cot 15° cot 10°
= tan 10° cot 10° tan 15° cot 15°
{∵ tan θ cot θ = 1}
= 1×1 = 1 (C)

Question 22.
The value of
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 41
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 42
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 43

Question 23.
If 6 and 20 – 45° arc acute angles such that sin 0 = cos (20 – 45°), then tan 0 is equal to
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 44
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 45

Question 24.
If 5θ and 4θ are acute angles satisfying sin 5θ = cos 4θ, then 2sin 3θ-√3 tan 3θ is equal to
(a) 1
(b) 0
(c) -1
(d) 1 + √3
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 46
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 47

Question 25.
If A + B = 90°, then
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 48

Question 26.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 49
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 50
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 51

Question 27.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 52
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 53

Question 28.
sin 2A = 2 sin A is true when A =
(a) 0°
(b) 30°

(c) 45°
(d) 60°

Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 54

Question 29.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 55
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 56

Question 30.
If A, B and C are interior angles of a
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 57
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 58

Question 31.
If cos θ = \(\frac { 2 }{ 3 }\), then 2 sec2 θ + 2 tan2 θ-7 is equal to
(a) 1
(b) 0
(c) 3
(d) 4
Solution:

Question 32.
tan 5° x tan 30° x 4 tan 85° is equal to
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 59
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 60

Question 33.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 61
(a)-2
(b) 2
(c) 1
(d) 0
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 62

Question 34.
In the figure, the value of cos Φ is
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 63
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 64

Question 35.
In the figure, AD = 4 cm, BD = 3 cm and CB = 12 cm, find cot θ.
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 65
Solution:
RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS 66

Hope given RD Sharma Class 10 Solutions Chapter 10 Trigonometric Ratios MCQS are helpful to complete your math homework.

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