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Trigonometry (Part-11)
📆 July 30, 2025
Total Questions: 57
41.
Simplify
[SSC CHSL 19/04/2021 (Afternoon)]
(a) -(1/4)
(b) -(1/3)
(c) 1/3
(d) 1(2/3)
Correct Answer:
(c) 1/3
Solution:
42.
2cos²θ = 3 (1 - sinθ), 0º < θ < 90º, then what is the value of (tan2θ + cosec3θ - sec2θ) ?
[SSC CHSL 04/08/2021 (Evening)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
43.
Find the value of θ, if sec²θ + (1 - √3) tanθ - (1 + √3) = 0, where θ is an acute angle.
[SSC CHSL 05/08/2021 (Evening)]
(a) 60º
(b) 30º
(c) 45º
(d) 15º
Correct Answer:
(a) 60º
Solution:
44.
If cosec²θ (cosθ - 1) (1 + cosθ) = k, then what is the value of k ?
[SSC CHSL 06/08/2021 (Morning)]
(a) 1
(b) -1
(c) 1/2
(d) 0
Correct Answer:
(b) -1
Solution:
45.
Simplify
[SSC CHSL 09/08/2021 (Morning)]
(a) sinθ
(b) cosecθ
(c) cosθ
(d) secθ
Correct Answer:
(a) sinθ
Solution:
46.
If cos²θ - sin²θ - 3cosθ + 2 = 0, 0º < θ < 90º, then what will be the value of secθ - cosθ ?
[SSC CHSL 09/08/2021 (Morning)]
(a) 4/3
(b) 1/2
(c) 3/2
(d) 2/3
Correct Answer:
(c) 3/2
Solution:
47.
Simplify
[SSC CHSL 09/08/2021 (Afternoon)]
(a) 4/11
(b) 8/11
(c) 8/13
(d) 5/11
Correct Answer:
(b) 8/11
Solution:
48.
Evaluate the following expression.
[SSC CHSL 10/08/2021 (Morning)]
(a) -1
(b) 1
(c) -2
(d) 2
Correct Answer:
(a) -1
Solution:
49.
For θ: 0º < θ < 90º, 3 secθ + 4cosθ = 4√3, find the value of (1 - sinθ + cosθ)
[SSC CHSL 10/08/2021 (Morning)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
50.
Simplify
[SSC CHSL 10/08/2021 (Afternoon)]
(a) 7
(b) 2
(c) 3
(d) 5
Correct Answer:
(d) 5
Solution:
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