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Trigonometry (Part-9)
📆 July 25, 2025
Total Questions: 50
21.
If tan² α = 3 +Q², then sec α + tan³ α cosec α = ?
[SSC CGL 07/12/2022 (1st Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
22.
If 1 + sinθ = mcosθ, then what is the value sinθ?
[SSC CGL 07/12/2022 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
23.
Find the value of the following expression.
[SSC CGL 07/12/2022 (3rd Shift)]
5 (sin⁴θ + cos⁴θ) + 3 (sin⁶θ + cos⁶θ) + 19 sin²θ cos²θ
(a) 8
(b) 5
(c) 6
(d) 7
Correct Answer:
(a) 8
Solution:
24.
If sin Y = x, then what will be the value of cos 2Y (where 0 ≤ Y ≤ 90º)?
[SSC CGL 08/12/2022 (1st Shift)]
(a) (√2 - 1)x
(b) √2x
(c) 1 - 2x
(d) 1 - 2x²
Correct Answer:
(d) 1 - 2x²
Solution:
25.
If A + B = C, then tanA tanB tanC = ?
[SSC CGL 08/12/2022 (1st Shift)]
(a) tanC + tanA - tanB
(b) tanC + tanA + tanB
(c) tanA - tanB - tanC
(d) tanC - tanA - tanB
Correct Answer:
(d) tanC - tanA - tanB
Solution:
26.
Simplify
[SSC CGL 08/12/2022 (1st Shift)]
(a) 4
(b) 6
(c) 8
(d) 2
Correct Answer:
(d) 2
Solution:
27.
θ = 135º; y = 15º. What is the value of 2cos(θ) sin(y)?
[SSC CGL 08/12/2022 (3rd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
28.
Simplify
[SSC CGL 08/12/2022 (3rd Shift)]
(a) 9/4
(b) 1/4
(c) 2√5
(d) √5
Correct Answer:
(c) 2√5
Solution:
29.
Simplify
[SSC CGL 08/12/2022 (4th Shift)]
(a) B
(b) A
(c) A+B
(d) A-B
Correct Answer:
(c) A+B
Solution:
30.
cos³60º - cos³240º - cos³360º = ?
[SSC CGL 09/12/2022 (1st Shift)]
(a) -3/4
(b) -7/5
(c) -3/5
(d) -9/7
Correct Answer:
(a) -3/4
Solution:
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