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Trigonometry (Part-10)
📆 July 28, 2025
Total Questions: 50
11.
If 4 Cosθ + 3Sinθ = x and 4 Sinθ - 3 Cosθ = y, find the value of x² + y².
[SSC CPO 11/11/2022 (Morning)]
(a) 16
(b) 9
(c) 25
(d) 1
Correct Answer:
(c) 25
Solution:
12.
Simplify
[SSC CPO 11/11/2022 (Afternoon)]
(a) 1 - tan²θ
(b) tan²θ - 1
(c) cot²θ - 1
(d) 1 - cot²θ
Correct Answer:
(c) cot²θ - 1
Solution:
13.
Simplify
[SSC CPO 11/11/2022 (Afternoon)]
(a) 1/2
(b) 3
(c) 0
(d) 2
Correct Answer:
(b) 3
Solution:
14.
If 1 + sin²θ - 3sin²θ cosθ = 0, then the value of cotθ is:
[SSC CPO 11/11/2022 (Evening)]
(a) 0
(b) 1
(c) 1/2
(d) 1/3
Correct Answer:
(b) 1
Solution:
15.
Simplify
[SSC CPO 11/11/2022 (Evening)]
(a) 11/6
(b) 5/6
(c) 6/11
(d) 6/5
Correct Answer:
(b) 5/6
Solution:
16.
Which of the following is equal to:-
[SSC CGL Tier II (08/08/2022)]
(a) cosecθ. secθ
(b) secθ. tanθ
(c) cosecθ. tanθ
(d) cotθ. secθ
Correct Answer:
(a) cosecθ. secθ
Solution:
17.
Simplify
[SSCC CGL Tier II (08/08/2022)]
(a) 3
(b) 2
(c) 5
(d) 4
Correct Answer:
(b) 2
Solution:
18.
If √3tanθ = 3sinθ, then what is the value of sin²θ - cos²θ ?
[SSC CGL Tier II (08/08/2022)]
(a) 1/5
(b) 1/4
(c) 1/2
(d) 1/3
Correct Answer:
(d) 1/3
Solution:
19.
Solve it-
[SSC CGL Tier II (08/08/2022)]
(a) secθ. cosecθ
(b) 1
(c) cosecθ/secθ
(d) tan²θ
Correct Answer:
(a) secθ. cosecθ
Solution:
20.
[(sinθ tanθ + cosθ)² - 1] is equal to:
[Graduate Level 02/08/2022 (Shift-3)]
(a) tan²θ
(b) cosecθ
(c) sec²θ
(d) secθ
Correct Answer:
(a) tan²θ
Solution:
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