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Trigonometry
📆 July 3, 2025
Total Questions: 50
31.
The solution of the equation cos²θ + sinθ + 1 = 0 lies between :
[Graduate Level 30/06/2023 (Shift-1)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
32.
Find the value of
[SSC CHSL Tier II (26/06/2023)]
(a) 1
(b) -1
(c) 0
(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)]
(a)
(b)
(c)
(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) ]
(a) b² - a²
(b) a² - b²
(c) b - a
(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)]
(a) Cos² A
(b) Sin A
(c) Sin² A
(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)]
(a) sin (2A - 2B)
(b) sin (2A +2B)
(c) cos (2A + 2B)
(d) cos (2A - 2B)
Correct Answer:
(c) cos (2A + 2B)
Solution:
37.
Find the value of k.
[SSC CGL 03/12/202 (3rd Shift)]
(a) 5.55
(b) -6.83
(c) -5.58
(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)]
(a) √2 Sinθ
(b) √2 Cosθ
(c) 1/√2 Sinθ
(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)]
(a) sin 13⁰
(b) cos 13⁰
(c) cos 18⁰
(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)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
As we know that,
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