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Trigonometry (Part-11)
📆 July 30, 2025
Total Questions: 57
21.
Simplify
[SSC CGL 18/08/2021 (Evening)]
(a) 0
(b) -2
(c) 1
(d) 2
Correct Answer:
(a) 0
Solution:
22.
If sin⁶θ + cos⁶θ = 1/3, 0º < θ < 90º , then what is the value of sinθ. cosθ
[SSC CGL 18/08/2021 (Evening)]
(a) √6/6
(b) √2/3
(c) √2/√3
(d) 2/9
Correct Answer:
(b) √2/3
Solution:
23.
If 2cos²θ - 5cosθ + 2 = 0, 0º < θ < 90º, then the value of (secθ + tanθ) is:
[SSC CGL 20/08/2021 (Afternoon)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
24.
The value of sec⁴θ (1 - sin⁴θ) - 2 tan²θ is:
[SSC CGL 20/08/2021 (Evening)]
(a) 1
(b) 0
(c) -1
(d) -1/2
Correct Answer:
(a) 1
Solution:
25.
Simplify
[SSC CGL 23/08/2021 (Morning)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
26.
Simplify
[SSC CGL 23/08/2021 (Afternoon)]
(a) sec³θ
(b) sin²θ
(c) cosec³θ
(d) sec²θ
Correct Answer:
(c) cosec³θ
Solution:
27.
Simplify
[SSC CGL 23/08/2021 (Evening)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
Solution:
28.
Simplify
[SSC CGL 24/08/2021 (Afternoon)]
(a) -1
(b) 1
(c) 2
(d) -2
Correct Answer:
(c) 2
Solution:
29.
Simplify
[SSC CGL 24/08/2021 (Evening)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
30.
If 2 cosθ + secθ - 2√2 = 0, where θ is an acute angle. Find the value of θ.
[SSC CHSL 12/04/2021 (Evening)]
(a) 60º
(b) 30º
(c) 15º
(d) 45º
Correct Answer:
(d) 45º
Solution:
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