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Trigonometry (Part-3)
📆 July 9, 2025
Total Questions: 50
41.
Simplify
[SSC CGL 19/09/2024 (3rd Shift)]
(a) 5/64
(b) 2/25
(c) 25/64
(d) 64/25
Correct Answer:
(c) 25/64
Solution:
42.
If tan θ + cot θ = 2, and θ is an acute angle, then the value of θ is:
[SSC CGL 19/09/2024 (3rd Shift)]
(a) 30ᵒ
(b) 15ᵒ
(c) 60ᵒ
(d) 45ᵒ
Correct Answer:
(d) 45ᵒ
Solution:
43.
Simplify
[SSC CGL 19/09/024 (1st Shift)]
(a) 2cosecA
(b) 2cosA
(c) 2secA
(d) 2sinA
Correct Answer:
(a) 2cosecA
Solution:
44.
The value of θ, when √3 cosθ + sinθ = 1 (1 ≤ θ ≤ 90ᵒ), is:
[SSC CGL 23/09/024 (1st Shift)]
(a) 20ᵒ
(b) 60ᵒ
(c) 90ᵒ
(d) 30ᵒ
Correct Answer:
(c) 90ᵒ
Solution:
45.
Let x = r cos (t), y = r sin (t) cos (u), z = r sin (t) sin (u). Then the value of x² + y² + z² is _______ .
[SSC CGL 23/09/2024 (1st Shift)]
(a) r² cos (u)
(b) r²
(c) 2r
(d) r² sin (t)
Correct Answer:
(b) r²
Solution:
46.
Simplify
[SSC CGL 23/09/2024 (1st Shift)]
(a) 1
(b) 7/15
(c) 4/3
(d) 9/16
Correct Answer:
(d) 9/16
Solution:
47.
Solve it-
[SSC CGL 23/09/2024 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
Solution:
48.
If cosA + cos²A = 1 then sin²A + sin⁴A is equal to:
[SSC CGL 23/09/2024 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
49.
Simplify
[SSC CGL 23/09/2024 (2nd Shift)]
(a) tanθ
(b) cosecθ
(c) cotθ
(d) secθ
Correct Answer:
(c) cotθ
Solution:
50.
Solve it-
[SSC CGL 23/09/2024 (3rd Shift)]
(a) 1
(b) 0
(c) 3
(d) 2
Correct Answer:
(b) 0
Solution:
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