Trigonometry

Total Questions: 50

31. The solution of the equation cos²θ + sinθ + 1 = 0 lies between : [Graduate Level 30/06/2023 (Shift-1)]

1. (a)
2. (b)
3. (c)
4. (d)

Correct Answer: (b)

Solution:

32. Find the value of [SSC CHSL Tier II (26/06/2023)]

1. (a) 1
2. (b) -1
3. (c) 0
4. (d) 2

Correct Answer: (a) 1

Solution:

33. If sin m + sin n = p, cos m + cos n = q, then find the value of sin m × sin n + cos m × cos n. [SSC CHSL 20/03/2023 (2nd Shift)]

1. (a)
2. (b)
3. (c)
4. (d)

Correct Answer: (b)

Solution:

34. If a cot θ + b cosec θ = p and b cot θ + cosec θ = q then p² -q² is equal to ______ . [SSC CGL Tier II (07/03/2023) ]

1. (a) b² - a²
2. (b) a² - b²
3. (c) b - a
4. (d) a² + b²

Correct Answer: (a) b² - a²

Solution:

35. If A is an acute angle, the simplified form of [SSC CGL 13/12/2022 (4th Shift)]

1. (a) Cos² A
2. (b) Sin A
3. (c) Sin² A
4. (d) Cos A

Correct Answer: (d) Cos A

Solution:

36. What is the value of the expression cos 2A cos 2B + sin² (A-B) - sin² (A+B) ? [SSC CGL 12/12/2022 (1st Shift)]

1. (a) sin (2A - 2B)
2. (b) sin (2A +2B)
3. (c) cos (2A + 2B)
4. (d) cos (2A - 2B)

Correct Answer: (c) cos (2A + 2B)

Solution:

37. Find the value of k. [SSC CGL 03/12/202 (3rd Shift)]

1. (a) 5.55
2. (b) -6.83
3. (c) -5.58
4. (d) 6.83

Correct Answer: (b) -6.83

Solution:

38. If Cos θ + sin θ = √2 Cos θ, find the value of (cos θ - Sin θ). [SSC CPO 10/11/2022 (Afternoon)]

1. (a) √2 Sinθ
2. (b) √2 Cosθ
3. (c) 1/√2 Sinθ
4. (d) 1/2 Cosθ

Correct Answer: (a) √2 Sinθ

Solution:

39. The value of sin 73⁰ + cos 137⁰ is: [SSC CHSL 10/06/2022 (Evening)]

1. (a) sin 13⁰
2. (b) cos 13⁰
3. (c) cos 18⁰
4. (d) sin 18⁰

Correct Answer: (a) sin 13⁰

Solution:

40. The value of sin 18⁰ is given as √5 - 1/4. Using the value, find the value of cos 18⁰. [SSC CHSL 30/05/2022 (Morning)]

1. (a)
2. (b)
3. (c)
4. (d)

Correct Answer: (a)

Solution:

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