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Trigonometry (Part-9)
📆 July 25, 2025
Total Questions: 50
31.
If 5 sin²A + 3cos²A = 4, 0 < A < 90º, then what is the value of tanA ?
[SSC CGL 09/12/2022 (1st Shift)]
(a) 0
(b) 3
(c) 1
(d) 2
Correct Answer:
(c) 1
Solution:
32.
Simplify
[SSC CGL 09/12/2022 (2nd Shift)]
(a) 5/12
(b) 12/13
(c) 11/12
(d) 5/13
Correct Answer:
(b) 12/13
Solution:
33.
If sin²θ cos²θ = 2/9, then what will be the value of cosec²θ + sec²θ ?
[SSC CGL 09/12/2022 (3rd Shift)]
(a) 7/2
(b) 5/2
(c) 5/2
(d) 9√2
Correct Answer:
(c) 5/2
Solution:
34.
Simplify
[SSC CGL 09/12/2022 (3rd Shift)]
(a) -3/2 , -1/2
(b) 3/2 , 1/2
(c) -3,-1
(d) 3, 1
Correct Answer:
(c) -3,-1
Solution:
35.
In the given figure, ABC is an isosceles triangle with BC = 8cm and AB = AC = 5cm. The value of tanC - cotB is ________ .
[SSC CGL 09/12/2022 (4th Shift)]
(a) -(5/12)
(b) -(7/12)
(c) 7/12
(d) 5/12
Correct Answer:
(b) -(7/12)
Solution:
36.
If b cosθ = a, then cosecθ + cotθ = _______
[SSC CGL 09/12/2022 (4th Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
Solution:
37.
Simplify
[SSC CGL 12/12/2022 (2nd Shift)]
(a) cosθ
(b) sinθ
(c) cotθ
(d) cosecθ
Correct Answer:
(a) cosθ
Solution:
38.
If sin²θ - 3sinθ + 2 = 0, then find the value of θ (0º ≤ θ ≤ 90º).
[SSC CGL 12/12/2022 (2nd Shift)]
(a) 45º
(b) 0º
(c) 60º
(d) 90º
Correct Answer:
(d) 90º
Solution:
39.
If tan3θ. tan7θ = 1, where 7θ is an acute angel, then find the value of cot15θ.
[SSC CGL 12/12/2022 (3rd Shift)]
(a) 1
(b) -1
(c) -√3
(d) √3
Correct Answer:
(b) -1
Solution:
40.
If 2sinθ + 2 sin²θ = 2, then the value of 2 cos⁴θ + 2 cos²θ is:
[SSC CGL 12/12/2022 (3rd Shift)]
(a) 4
(b) 2
(c) 1
(d) 0
Correct Answer:
(b) 2
Solution:
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