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Trigonometry Quiz | Trigonometry Multiple Choice Questions and Answers

Free download in PDF Trigonometry Multiple Choice Questions and Answers for competitive exams. These short objective type questions with answers are very important for Board exams as well as competitive exams. These short solved questions or quizzes are provided by Gkseries.
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(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
(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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