Trigonometry Quiz | Trigonometry Multiple Choice Questions and Answers

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Questions
1 The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is
A 1
B 0
C -1
D 5

Answer: 0
2 If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to
A √3
B 1
C 1/2
D None of these

Answer: 1
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3 If x and y are complementary angles, then
A sec x = cosec y
B cos x = cos y
C tan x = tan y
D sin x = sin y

Answer: sec x = cosec y
4 sin 2B = 2 sin B is true when B is equal to
A 0°
B 30°
C 60°
D 90°

Answer: 0°
5 If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to
A 1
B √3
C 0
D None

Answer: 1
6 If y sin 45° cos 45° = tan2 45° – cos2 30°, then y = …
A 1/2
B -2
C 0
D -1/2

Answer: 1/2
7 If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ..
A 1
B 2
C 0
D -1

Answer: 1
8 5 tan² A – 5 sec² A + 1 is equal to
A -4
B 1
C -5
D 6

Answer: -4
9 If x = a cos 0 and y = b sin 0, then b2x2 + a2y2 =
A a²b²
B a4b4
C b² + a²
D ab

Answer: a²b²
10 What is the minimum value of sin A, 0 ≤ A ≤ 90°
A -1
B 0
C 1
D 1/2

Answer: 0
11 What is the minimum value of cos θ, 0 ≤ θ ≤ 90°
A 0
B 1
C -1
D 1/2

Answer: 0
12 If cos 9A = sin A and 9A < 90°, then the value of tan 5A is
A 0
B 1
C √3
D None

Answer: 1
13 If in ΔABC, ∠C = 90°, then sin (A + B) =
A 1
B 1/2
C 0
D √3

Answer: 1
14 If sin A – cos A = 0, then the value of sin4 A + cos4 A is
A 1
B 2
C 1/2
D 1/3

Answer: 1/2
15 Ratios of sides of a right triangle with respect to its acute angles are known as
A trigonometric ratios of the angles
B trigonometry
C trigonometric identities
D none of these

Answer: trigonometric ratios of the angles
16 If 0° < θ < 90°, then sec 0 is
A >1
B < 1
C =1
D 0

Answer: >1
17 If sin 0 = √3 cos θ, 0° < θ < 90°, then θ is equal to
A 60°
B 90°
C 45°
D 30°

Answer: 60°
18 If cos (α + β) = 0, then sin (α – β) can be reduced to [NCERT Exemplar Problems]
A sin 2α
B sin α
C cos 2β
D cos β

Answer: cos 2β
19 If cos 9α = sin a and 9α < 90°, then the value of tan 5α is [NCERT Exemplar Problems]
A √3
B 1
C 0
D None

Answer: 1
20 sin (45° + θ) – cos (45° – θ) is equal to
A 2 sin θ
B 2 cos θ
C 0
D 1

Answer: 0

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