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Trigonometry (Part-3)
📆 July 9, 2025
Total Questions: 50
21.
If secθ = 29/20 where 0 < θ < 90ᵒ, then what is the value of 3cosecθ + 3cotθ ?
[SSC CGL 17/09/2024 (1st Shift)]
(a) 7/3
(b) 7
(c) 14
(d) 49
Correct Answer:
(b) 7
Solution:
22.
If cos24ᵒ =m/n, then the value of (cosec24ᵒ - cos66ᵒ) is:
[SSC CGL 17/09/2024 (1st Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
23.
Find the value of
[SSC CGL 17/09/2024 (2nd Shift)]
(a) -1
(b) 1
(c) 2
(d) 0
Correct Answer:
(a) -1
Solution:
24.
If sinA + cosA = 1/2√2, then find the value of sin⁴A + cos⁴A.
[SSC CGL 17/09/2024 (2nd Shift)]
(a) 79/128
(b) 7/13
(c) 79/126
(d) 5/13
Correct Answer:
(a) 79/128
Solution:
25.
If a = xcosθ + ysinθ and b = xsinθ - ycosθ, then a² + b² is equal to:
[SSC CGL 17/09/2024 (2nd Shift)]
(a) x + y
(b) x² - y²
(c) x² + y²
(d) x - y
Correct Answer:
(c) x² + y²
Solution:
26.
Simplify
[SSC CGL 17/09/2024 (3rd Shift)]
(a) 33/91
(b) 77/30
(c) 55/87
(d) 99/47
Correct Answer:
(b) 77/30
Solution:
27.
If sinθ + cosθ = √3 cosθ, then the value of cot θ is:
[SSC CGL 17/09/2024 (3rd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
28.
If sec(t) = x/y, then cot(t) is equal to:
[SSC CGL 18/09/2024 (1st Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
29.
At what angle θ, the value of sin (θ) and cos (θ) will have the same value ?
[SSC CGL 18/09/2024 (1st Shift)]
(a) 45ᵒ
(b) 30ᵒ
(c) 60ᵒ
(d) 75ᵒ
Correct Answer:
(a) 45ᵒ
Solution:
30.
If 3 sin A + 4 cos A = 5, then the value of tan A is:
[SSC CGL 18/09/2024 (1st Shift)]
(a) 3/4
(b) 3/5
(c) 5/4
(d) 4/5
Correct Answer:
(a) 3/4
Solution:
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