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Trigonometry (Part-5)
📆 July 14, 2025
Total Questions: 50
11.
Find the value of-
[SSC CPO 28/06/2024 (1st Shift)]
(a) tan²θ
(b) cotθ
(c) tanθ
(d) cot²θ
Correct Answer:
(d) cot²θ
Solution:
12.
Solve it-
[SSC CPO 28/06/2024 (1st Shift)]
(a) 77/144
(b) 61/169
(c) 87/169
(d) 65/144
Correct Answer:
(d) 65/144
Solution:
13.
If 4sin²θ = 3(1 + cosθ), 0º < θ < 90º, then what is the value of √15 tanθ + 4/√15 sinθ + 2secθ?
[SSC CPO 28/06/2024 (2nd Shift)]
(a) 24
(b) 4√15
(c) 8√15
(d) 8
Correct Answer:
(a) 24
Solution:
14.
If tan θ + cot θ = 6, then the value of tan²θ + cot²θ is______ .
[SSC CPO 28/06/2024 (2nd Shift)]
(a) 24
(b) 34
(c) 20
(d) 22
Correct Answer:
(b) 34
Solution:
15.
(1 - cos²A) sec²A is equal to:
[SSC CPO 28/06/2024 (2nd Shift)]
(a) cos²A cot²A
(b) tan²A
(c) cot²A
(d) cosec²A
Correct Answer:
(b) tan²A
Solution:
16.
If sin x + cos x = √2 sinx, then the value of sin x - cos x is:
[SSC CPO 28/06/2024 (2nd Shift)]
(a) √2 sin x
(b) 2 sin x
(c) -√2 cos x
(d) √2 cos x
Correct Answer:
(d) √2 cos x
Solution:
17.
Simplify
[SSC CPO 28/06/2024 (3rd Shift)]
(a) 2
(b) -1
(c) -2
(d) 1
Correct Answer:
(b) -1
Solution:
18.
Simplify
[SSC CPO 28/06/2024 (3rd Shift)]
(a) 1 - tanA secA
(b) 1 - cosA cotA
(c) 1 - sinA tanA
(d) 1 - sinA cosA
Correct Answer:
(d) 1 - sinA cosA
Solution:
19.
If sin (x+y) = 1 and cos (x-y) = √3/2, find the value of 'y'.
[SSC CPO 28/06/2024 (3rd Shift)]
(a) 90º
(b) 60º
(c) 30º
(d) 20º
Correct Answer:
(c) 30º
Solution:
20.
Solve it-
[SSC CPO 28/06/2024 (3rd Shift)]
(a) sin²θ
(b) sec²θ
(c) cosec²θ
(d) cot²θ
Correct Answer:
(c) cosec²θ
Solution:
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