Introduction to Trigonometry Mathematics MCQ – NDA

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Question 1. The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is

(a) 1
(b) -1
(c) 0
(d) 1/√2

Question  2. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to

(a) √3
(b) 1/2
(c) 1/√2
(d) 1

Question 3. If x and y are complementary angles, then

(a) sin x = sin y
(b) tan x = tan y
(c) cos x = cos y
(d) sec x = cosec y

Question 4. sin 2B = 2 sin B is true when B is equal to

(a) 90°
(b) 60°
(c) 30°
(d) 0°

Question 5. If A, B and C are interior angles of a ΔABC then cos(B+C/2) is equal to

Introduction to Trigonometry Mathematics MCQ

Question 6. If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to

(a) 0
(b) 1/√3
(c) 1
(d) √3

Question  7. If y sin 45° cos 45° = tan2 45° – cos2 30°, then y = …

(a) –1/2
(b) 1/2
(c) -2
(d) 2

Question 8. If sin θ + sin² θ = 1, then cos² θ + cos⁴ θ = ..

(a) -1
(b) 0
(c) 1
(d) 2

Question 9. 5 tan² A – 5 sec² A + 1 is equal to

(a) 6
(6) -5
(c) 1
(d) -4

Question 10. If sec A + tan A = x, then sec A =

Introduction to Trigonometry Mathematics MCQ

Question 11. If sec A + tan A = x, then tan A =

Question 13. If x = a cos 0 and y = b sin 0, then b2x2 + a2y2 =

(a) ab
(b) b² + a²
(c) a²b²
(d) a⁴b⁴

Question  14. What is the maximum value of 1/cscA?

(a) 0
(b) 1
(c) 1/2
(d) 2

Question  15. What is the minimum value of sin A, 0 ≤ A ≤ 90°

(a) -1
(b) 0
(c) 1
(d) 1/2

Introduction to Trigonometry Mathematics MCQ

Question 16. What is the minimum value of cos θ, 0 ≤ θ ≤ 90°

(a) -1
(b) 0
(c) 1
(d) 1/2

Question 17. Given that sin θ = a/b , then tan θ =

Question 18. If cos 9A = sin A and 9A < 90°, then the value of tan 5A is

(a) 0
(b) 1
(c) 1/√3
(d) √3

Question 19. If in ΔABC, ∠C = 90°, then sin (A + B) =

(a) 0
(b) 1/2
(c) 1/√2
(d) 1

Question 20. If sin A – cos A = 0, then the value of sin⁴ A + cos⁴ A is

(a) 2
(b) 1
(c) 3/4
(d) 1/2

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