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Trigonometry (Part-11)
📆 July 30, 2025
Total Questions: 57
51.
If (1 + cot²θ) + (1 + (cot²θ)⁻¹) is equal to k, then √k = ?
[SSC CHSL 10/08/2021 (Evening)]
(a) sinθ secθ
(b) cosecθ cosθ
(c) cosecθ secθ
(d) sinθ cosθ
Correct Answer:
(c) cosecθ secθ
Solution:
52.
Simplify
[SSC CHSL 11/08/2021 (Morning)]
(a) secθ cosecθ
(b) secθ sinθ
(c) sinθ cosθ
(d) cosθ cosecθ
Correct Answer:
(c) sinθ cosθ
Solution:
53.
Simplify
[SSC CHSL 11/08/2021 (Afternoon)]
(a) 3
(b) 6
(c) 4
(d) 8
Correct Answer:
(c) 4
Solution:
54.
If cot²θ + cot⁴θ = 2, then the value of 2 sin⁴θ + sin²θ is:
[SSC CHSL 11/08/2021 (Evening)]
(a) 3
(b) 5
(c) 1
(d) 2
Correct Answer:
(c) 1
Solution:
55.
If sinα + cosecα = tan π/3, then the value of (sin³α + cosec³α) is equal to:
[SSC CHSL 11/08/2021 (Evening)]
(a) 1/2
(b) 1
(c) 0
(d) 3/2
Correct Answer:
(c) 0
Solution:
56.
Solve it-
[SSC CPO 24/11/2020 (Evening)]
(a) 3
(b) 1/3
(c) -3
(d) -(1/3)
Correct Answer:
(c) -3
Solution:
57.
If 4(cosec²57 - tan²33) - cos90 + y × tan²66 × tan²24 = y/2 then the value of y is:
[SSC CPO 25/11/2020 (Morning)]
(a) 4
(b) 8
(c) -4
(d) -8
Correct Answer:
(d) -8
Solution:
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