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Trigonometry (Part-9)
📆 July 25, 2025
Total Questions: 50
11.
If sec2θ = cosec (θ - 36º), where 2θ is an acute angle, find the value of θ.
[SSC CGL 05/12/2022 (1st Shift)]
(a) 32º
(b) 46º
(c) 20º
(d) 42º
Correct Answer:
(d) 42º
Solution:
12.
What will be the value of cos x cosec x - sin x sec x ?
[SSC CGL 05/12/2022 (2nd Shift)]
(a) cot 2x/2
(b) tan 2x
(c) cot 2x
(d) 2cot 2x
Correct Answer:
(d) 2cot 2x
Solution:
13.
cot²A - cos²A is equal to:
[SSC CGL 05/12/2022 (3rd Shift)]
(a) cos²A. sin²A
(b) cos²A.cot²A
(c) 1
(d) 0
Correct Answer:
(b) cos²A.cot²A
Solution:
14.
If bsinθ = a, then secθ + tanθ = ?
[SSC CGL 06/12/2022 (1st Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
15.
What will be the value of sin10º - 4/3 sin³10º ?
[SSC CGL 06/12/2022 (1st Shift)]
(a) 1/3√3
(b) 1/6
(c) 1/2√3
(d) √3/6
Correct Answer:
(b) 1/6
Solution:
16.
Simplify
[SSC CGL 06/12/2022 (2nd Shift)]
(a) 1
(b) √3/2
(c) 1/2
(d) 0
Correct Answer:
(c) 1/2
Solution:
17.
Solve the following to find its value in terms of trigonometric ratios.
[SSC CGL 06/12/2022 (3rd Shift)]
(sinA + cosA) (1 - sinA cosA)
(a) sin³A + cos³A
(b) sin²A - cos²A
(c) [cosA - sinA] [sin²A + cos²A]
(d) sin³A - cos³A
Correct Answer:
(a) sin³A + cos³A
Solution:
18.
If secθ - 2cosθ = 7/2, where θ is a positive acute angle, then the value of secθ is:
[SSC CGL 06/12/2022 (4th Shift)]
(a) 6
(b) 8
(c) 5
(d) 4
Correct Answer:
(d) 4
Solution:
19.
Find the value of tan3θ if sec 3θ = cosec(4θ - 15º).
[SSC CGL 06/12/2022 (4th Shift)]
(a) 1/√3
(b) √3
(c) -1
(d) 1
Correct Answer:
(d) 1
Solution:
20.
If tanA - tanB - tanC = tanA tanB tanC, what is the value of A in terms of B and C ?
[SSC CGL 07/12/2022 (1st Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
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