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Trigonometry (Part-5)
📆 July 14, 2025
Total Questions: 50
1.
Simplify
[SSC CHSL 11/07/2024 (3rd Shift)]
(a) 2 + √3
(b) √3 - 2
(c) √3 + 1
(d) 2 - √3
Correct Answer:
(d) 2 - √3
Solution:
2.
If cotθ = 28/45, then find the value of (sinθ - cosθ).
[SSC CHSL 27/06/2024 (1st Shift)]
(a) 45/78
(b) 7/53
(c) 28/53
(d) 17/53
Correct Answer:
(d) 17/53
Solution:
3.
If sec 6A = cosec (A - 29º), where 2A is an acute angle, then the measure of ∠A = _______º .
[SSC CPO 27/06/2024 (1st Shift)]
(a) 18
(b) 17
(c) 21
(d) 19
Correct Answer:
(b) 17
Solution:
4.
Simplify:
[SSC CPO 27/06/2024 (1st Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
5.
If sin α = 5/13, then the value of cos α. cosec α. cot α. is _______ .
[SSC CPO 27/06/204 (2nd Shift)]
(a) 12/5
(b) 144/25
(c) 5/12
(d) 25/144
Correct Answer:
(b) 144/25
Solution:
6.
Find the value of (1 + cotA - cosecA) (1 + tanA + secA) - 3(sin²A + cos²A).
[SSC CPO 27/06/2024 (2nd Shift)]
(a) -1
(b) 1
(c) 2
(d) -2
Correct Answer:
(a) -1
Solution:
7.
Find the maximum value of (19 sinθ + 6 cotθ sinθ).
[SSC CPO 27/06/2024 (3rd Shift)]
(a) √397
(b) √197
(c) √297
(d) √497
Correct Answer:
(a) √397
Solution:
8.
Solve it-
[SSC CPO 27/06/2024 (3rd Shift)]
(a) 100/7
(b) 100/3
(c) 100/9
(d) 50/3
Correct Answer:
(c) 100/9
Solution:
9.
Which of the following is true when x = SinA + CosA; Y = SecA + CosecA ?
[SSC CPO 27/06/2024 (3rd Shift)]
(a) y(1 + x²) = 2x
(b) y - 2x = x² y
(c) y + 2x = x² y
(d) y (1 - 2x²) = x
Correct Answer:
(c) y + 2x = x² y
Solution:
10.
Solve the equation for A (in degrees):
[SSC CPO 28/06/2024 (1st Shift)]
2cos²A + 3cosA - 2 = 0, 0 < A < 90º
(a) 30º
(b) 80º
(c) 60º
(d) 45''
Correct Answer:
(c) 60º
Solution:
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