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Trigonometry
📆 July 3, 2025
Total Questions: 50
21.
Find the least value of 16cosec²θ + 25sin²θ.
[SSC CPO 04/10/2023 (3rd Shift)]
(a) 35
(b) 38
(c) 42
(d) 40
Correct Answer:
(d) 40
Solution:
22.
Find the value of
[SSC CHSL 17/08/2023 (2nd Shift)]
(a) cosA
(b) tanA
(c) 1/sinA
(d) 1/cotA
Correct Answer:
(a) cosA
Solution:
23.
If sinθ + tanθ = p and tanθ - sinθ = q, then which of the relation satisfies for given values of p and q?
[SSC CHSL 11/08/2023 (4th Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
24.
If θ an acute angle and sinθ cosθ = 2 cos³θ - 1/4 cosθ, then the value of sinθ is :
[SSC CHSL 10/08/2023 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
25.
Simplify the following: 7(cot 11⁰ cot 13⁰ cot 19⁰ cot 29⁰ cot 61⁰ cot 71⁰ cot 77⁰ cot79⁰)
[SSC CHSL 09/08/2023 (3rd Shift)]
(a) 7
(b) -7
(c) -1
(d) 1
Correct Answer:
(a) 7
Solution:
26.
The given expression is equal to :
[SSC CHSL 09/08/2023 (2nd Shift)]
(a) 1
(b) -1
(c) 0
(d) 2
Correct Answer:
(a) 1
Solution:
27.
If cot A + cos A = p and cot A - cos A = q, then which of the following relation is correct ?
[SSC CHSL 03/08/2023 (4th Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
Solution:
28.
The value of the following 4(sin⁶ A + cos⁶ A) - 6(sin⁴ A + cos⁴ A) + 8 is :
[SSC CHSL 02/07/2023 (4th Shift)]
(a) 4
(b) 8
(c) 7
(d) 6
Correct Answer:
(d) 6
Solution:
29.
Evaluate the following:
[SSC CGL 27/07/2023 (3rd Shift)]
(a) 2cosθ
(b) 2cos2θ
(c) sin2θ
(d) cos2θ
Correct Answer:
(a) 2cosθ
Solution:
30.
Find the value of
[SSC CGL 21/07/2023 (2nd Shift)]
(a) sec 3θ - tan 3θ
(b) (sec 3θ - tan 3θ)³
(c) (sec 3θ - tan 3θ)²
(d) sec 3θ + tan 3θ
Correct Answer:
(a) sec 3θ - tan 3θ
Solution:
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