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Trigonometry (Part-5)
📆 July 14, 2025
Total Questions: 50
21.
If sin⁴θ + cos⁴θ = 2sin²θ cos²θ, 0º < θ < 90º, then find the value of cotθ.
[SSC CPO 29/06/2024 (1st Shift)]
(a) 1/2
(b) 1/√2
(c) 1/3
(d) 1
Correct Answer:
(d) 1
Solution:
22.
tan⁴A + tan²A is equal to:
[SSC CPO 29/06/2024 (1st Shift)]
(a) sec²A - sec⁴A
(b) -(sec²A + sec⁴A)
(c) sec⁴A - sec²A
(d) sec⁴A + sec²A
Correct Answer:
(c) sec⁴A - sec²A
Solution:
23.
Solve the following:
[SSC CPO 29/06/2024 (1st Shift)]
(tanθ + secθ + 1) (cotθ - cosecθ + 1) =?
(a) 2
(b) 1
(c) 0
(d) -1
Correct Answer:
(a) 2
Solution:
24.
The value of (cosecθ -sinθ) (secθ - cosθ) (tanθ + cotθ) is
[SSC CPO 29/06/2024 (1st Shift)]
(a) -3
(b) 3
(c) secθ cosecθ
(d) 1
Correct Answer:
(d) 1
Solution:
25.
Find the value of the following expression.
[SSC CPO 29/06/2024 (2nd Shift)]
(1 + tanθ + secθ) × (1 + cotθ - cosecθ)
(a) 1
(b) cosθ sinθ
(c) 2
(d) tanθ
Correct Answer:
(c) 2
Solution:
26.
Simplify
[SSC CPO 29/06/2024 (2nd Shift)]
(a) Not defined
(b) 1
(c) √3
(d) 0
Correct Answer:
(a) Not defined
Solution:
27.
If sin (x+y) = cos{3(x+y)}, then, the value of cot {2(x+y)} is______ .
[SSC CPO 29/06/2024 (2nd Shift)]
(a) -1
(b) 1
(c) -2
(d) 2
Correct Answer:
(b) 1
Solution:
28.
Simplify
[SSC CPO 29/06/2024 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
29.
Solve it-
[SSC CPO 29/06/2024 (3rd Shift)]
(a) 34
(b) 20
(c) 17
(d) 19
Correct Answer:
(c) 17
Solution:
30.
The value of sin²15º + sin²25º + sin²35º + sin²45º + sin²55º + sin²65º + sin²75º is:
[SSC CPO 29/06/2024 (3rd Shift)]
(a) 4
(b) 7
(c) 7/2
(d) 7/3
Correct Answer:
(c) 7/2
Solution:
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