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Trigonometry (Part-3)
📆 July 9, 2025
Total Questions: 50
1.
Find the value of-
[SSC CGL 11/09/2024 (1st Shift)]
(a) 0
(b) 1
(c) 1/2
(d) 2
Correct Answer:
(a) 0
Solution:
2.
Evaluate the value of (cosec56ᵒ cos34ᵒ - cos59ᵒ cosec31ᵒ).
[SSC CGL 11/09/2024 (2nd Shift)]
(a) 1
(b) 2
(c) -1
(d) 0
Correct Answer:
(d) 0
Solution:
3.
Simplify
[SSC CGL 11/09/2024 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
4.
Express sin74ᵒ + tan74ᵒ in terms of trigonometric ratios of angles between 0ᵒ and 45ᵒ.
[SSC CGL 11/09/2024 (3rd Shift)]
(a) sec16ᵒ + cot16ᵒ
(b) cosec16ᵒ + sec16ᵒ
(c) cosec16ᵒ + cot16ᵒ
(d) cos16ᵒ + cot16ᵒ
Correct Answer:
(d) cos16ᵒ + cot16ᵒ
Solution:
5.
If p sin A - cos A = 1, then p² - (1 + p²) cos A equals:
[SSC CGL 11/09/2024 (3rd Shift)]
(a) 1
(b) -1
(c) 2
(d) 0
Correct Answer:
(a) 1
Solution:
6.
The value of-
[SSC CGL 12/09/2024 (1st Shift)]
(a) 2
(b) 1
(c) 0
(d) -1
Correct Answer:
(d) -1
Solution:
7.
If 2cosec²θ + 3cot²θ = 17, then the value of 'θ' when 0ᵒ ≤ θ ≤ 90ᵒ is:
[SSC CGL 12/09/2024 (1st Shift)]
(a) 45ᵒ
(b) 90ᵒ
(c) 30ᵒ
(d) 75ᵒ
Correct Answer:
(c) 30ᵒ
Solution:
8.
Solve the following:
[SSC CGL 12/09/2024 (2nd Shift)]
(a) 2cosec²θ
(b) 2sin²θ
(c) 2sec²θ
(d) 2tan²θ
Correct Answer:
(a) 2cosec²θ
Solution:
9.
If 7 tan θ = 3, then-
[SSC CGL 12/09/2024 (2nd Shif)]
(a) 7
(b) 5
(c) 8
(d) 6
Correct Answer:
(c) 8
Solution:
10.
If cot⁴Φ - cot²Φ = 1, then the value of cos⁴Φ + cos²Φ is :
[SSC CGL 12/09/2024 (2nd Shift)]
(a) 2
(b) 1
(c) 1/√3
(d) 3/2
Correct Answer:
(b) 1
Solution:
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