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Trigonometry (Part-7)
📆 July 21, 2025
Total Questions: 50
31.
If sin A = -(3/5), A lies in III quadrant, the value of sec A is:
[SSC CGL 18/07/2023 (2nd Shift)]
(a) -(4/5)
(b) -(3/4)
(c) -(3/4)
(d) 3/4
Correct Answer:
(b) -(3/4)
Solution:
32.
Find the value of the following expression.
[SSC CGL 18/07/2023 (3rd Shift)]
12 (sin⁴θ + cos⁴θ) + 18 (sin⁶θ + cos⁶θ) + 78 sin²θ cos²θ
(a) 30
(b) 40
(c) 10
(d) 20
Correct Answer:
(a) 30
Solution:
33.
Simplify
[SSC CGL 18/07/2023 (4th Shift)]
(a) √3 + 1
(b) √3 - 1
(c) 2 - √3
(d) 2 + √3
Correct Answer:
(c) 2 - √3
Solution:
34.
Simplify
[SSC CGL 19/07/2023 (1st Shift)]
(a) 2.25
(b) 1.45
(c) 3.75
(d) 5.25
Correct Answer:
(b) 1.45
Solution:
35.
Find the value of (sinθ + cosθ)² + (sinθ - cosθ)²
[SSC CGL 19/07/2023 (1st Shift)]
(a) 4
(b) 0
(c) 2
(d) 1
Correct Answer:
(c) 2
Solution:
36.
Simplify
[SSC CGL 19/07/2023 (1st Shift)]
(a) 90º
(b) 45º
(c) 60º
(d) 30º
Correct Answer:
(c) 60º
Solution:
37.
Simplify
[SSC CGL 19/07/2023 (2nd Shift)]
(a) 2 + √3
(b) 2 - √3
(c) √3 -1
(d) √3 + 1
Correct Answer:
(a) 2 + √3
Solution:
38.
If P cos α = 3 and 4 tan α =Q, then what is the relation between P and Q which is independent of α ?
[SSC CGL 19/07/2023 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
Solution:
39.
For any acute angle θ, sinθ + sin²θ = 1, then the value of cos² +cos⁴θ is = ______ .
[SSC CGL 19/07/2023 (3rd Shift)]
(a) 0
(b) 1
(c) 2
(d) -1
Correct Answer:
(b) 1
Solution:
40.
If cosx + sinx = √2cosx, what is the value of (cosx - sinx)² + (cosx + sinx)² ?
[SSC CGL 19/07/2023 (4th Shift)]
(a) 2
(b) 1
(c) 0
(d) 1/√2
Correct Answer:
(a) 2
Solution:
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