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Trigonometry (Part-8)
📆 July 22, 2025
Total Questions: 50
11.
What is the value of tan θ/2 ?
[SSC CGL 26/07/2023 (4th Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
12.
Simplify
[SSC CGL 27/07/2023 (2nd Shift)]
(a) 3
(b) 9
(c) 1
(d) 1/9
Correct Answer:
(c) 1
Solution:
13.
If tan⁴θ + tan⁴θ = 1, what is the value of 11 (cos⁴θ + cos²θ) ?
[SSC CGL 27/07/2023 (3rd Shift)]
(a) -11
(b) 8
(c) 0
(d) 11
Correct Answer:
(d) 11
Solution:
14.
Simplify
[Graduate Level 27/06/203 (Shift-4)]
(a) 20
(b) 32
(c) 24
(d) 12
Correct Answer:
(d) 12
Solution:
15.
If sinθ + cosθ = √11/3, then what is tanθ + cotθ equal to?
[Graduate Level 27/06/2023 (Shift-4)]
(a) 5
(b) 9
(c) 7
(d) 11
Correct Answer:
(b) 9
Solution:
16.
If 1 + sin²θ = a cos²θ, then find sec⁴θ - tan⁴θ.
[Graduate Level 30/06/2023 (Shift-1)]
(a) a⁻²
(b) a⁻¹
(c) a
(d) a²
Correct Answer:
(c) a
Solution:
17.
In a triangle PQR, if = 3cm, PR = 5cm and sin P = 3/5, then ∠Q equals:
[Higher Secondary 28/06/2023 (Shift-3)]
(a) π/3
(b) π/2
(c) π/4
(d) π/6
Correct Answer:
(b) π/2
Solution:
18.
The value of cosec41º sec49º is:
[Higher Secondary 30/06/2023 (Shift-2)]
(a) 1
(b) 0
(c) 1/4
(d) 1/2
Correct Answer:
(b) 0
Solution:
19.
If Sin x + Sin²x = 1, then what is the value of Cos⁸x + 2 Cos⁶x + Cos⁴x ?
[SSC CGL Tier II (26/06/2023)]
(a) 2
(b) 0
(c) 4
(d) 1
Correct Answer:
(d) 1
Solution:
20.
What is the value of-
[SSC CHSL 09/03/2023 (1st Shift)]
(a) cos²A
(b) cosec²A
(c) sec²A
(d) tan²A
Correct Answer:
(d) tan²A
Solution:
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