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Trigonometry
📆 July 3, 2025
Total Questions: 50
41.
The value of-
[SSC CHSL 27/05/2022 (Morning)]
(a) tan3θ
(b) cot3θ
(c) tanθ
(d) cotθ
Correct Answer:
(a) tan3θ
Solution:
42.
The value of cot² 46⁰ - sec² 44⁰ + (sin² 1 + sin² 3⁰ + sin² 5⁰ +....+ sin² 89⁰.
[SSC CHSL 10/08/2021 (Evening)]
(a) 23.5
(b) 20.5
(c) 22.5
(d) 21.5
Correct Answer:
(d) 21.5
Solution:
43.
If the between 45⁰ and 540⁰, and sinA = 0.5, what is the value of A/3 in degree ?
[SSC CHSL 15/04/2021 (Morning)]
(a) 170⁰
(b) 175⁰
(c) 165⁰
(d) 160⁰
Correct Answer:
(a) 170⁰
Solution:
44.
If cos 27⁰ = x, then the value of tan 63⁰ is:
[SSC CHSL 26/10/2020 (Evening)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
45.
If x sin³θ + y cos³θ = sinθ cosθ and x sinθ = y cosθ, then the value of x² + y² is:
[SSC CHSL (20/10/2020) (Morning)]
(a) 0
(b) 4
(c) 1
(d) 2
Correct Answer:
(c) 1
Solution:
46.
If cos²θ + cos⁴θ =1, then the value of sinθ + sin²θ is:
[SSC CHSL 16/10/2020 (Morning)]
(a) 0
(b) 1/2
(c) 2
(d) 1
Correct Answer:
(d) 1
Solution:
47.
If sinθ - cosθ = 7/17, then find the value of sinθ + cosθ.
[SSC CHSL 14/10/2023 (Morning)]
(a) 8/17
(b) 23/13
(c) 23/17
(d) 8/13
Correct Answer:
(c) 23/17
Solution:
48.
If secθ and sinθ (0⁰ < θ < 90⁰) are the roots of the equation √6x² - kx + √6 = 0, then the value of k is:
[SSC CHSL 14/10/2020 (Morning)]
(a) √3
(b) 3√2
(c) 2√3
(d) 3√3
Correct Answer:
(d) 3√3
Solution:
49.
If cosA, sinA, cotA are in geometric progression, then the value of tan⁶A - tan²A is:
[SSC CHSL 13/10/2020 (Afternoon)]
(a) 1/2
(b) 3
(c) 1/3
(d) 1
Correct Answer:
(d) 1
Solution:
50.
Find the value of Cos 225⁰
[SSC CHSL 17/03/2020 (Afternoon)]
(a) -0.7071
(b) -0.866
(c) 0.7071
(d) 0.866
Correct Answer:
(a) -0.7071
Solution:
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