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Trigonometry (Part-9)
📆 July 25, 2025
Total Questions: 50
1.
If tan²θ = 1 - a², then the value of secθ + tan³θ cosecθ is:
[SSC CGL 01/12/2023 (4th Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
Solution:
2.
If sin (A+B) = cos (A+B), what is the value of tanA ?
[SSC CGL 02/12/2022 (1st Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
3.
In △ABC, right angled at B, AB = 7cm and AC - BC = 1cm. Find the value of sinC.
[SSC CGL 02/12/2022 (2nd Shift)]
(a) 3/7
(b) 12/13
(c) 3/25
(d) 7/25
Correct Answer:
(d) 7/25
Solution:
4.
Simplify
[SSC CGL 02/12/2022 (4th Shift)]
(a) 5
(b) 2/5
(c) 4/5
(d) 1/5
Correct Answer:
(a) 5
Solution:
5.
Simplify:
[SSC CGL 03/12/2022 (1st Shift)]
(a) tanA
(b) cosA - sinA
(c) cosA. sinA
(d) cosA + sinA
Correct Answer:
(b) cosA - sinA
Solution:
6.
Solve it-
[SSC CGL 03/12/2022 (1st Shift)]
(a) 2sec²θ
(b) 1
(c) 0
(d) 2 tan²θ
Correct Answer:
(a) 2sec²θ
Solution:
7.
sin⁴θ + cos⁴θ in terms of sinθ can be written as:
[SSC CGL 03/12/2022 (2nd Shift)]
(a) 2sin⁴θ + 2sin²θ - 1
(b) 2sin⁴θ - 2sin²θ
(c) 2sin⁴θ - 2sin²θ - 1
(d) 2sin⁴θ - 2sin²θ + 1
Correct Answer:
(d) 2sin⁴θ - 2sin²θ + 1
Solution:
8.
Simplify the following:
[SSC CGL 03/12/2022 (3rd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
Solution:
9.
Solve it-
[SSC CGL 03/12/2022 (4th Shift)]
(a) secA - tanA
(b) cosecA + cotA
(c) secA + tanA
(d) cosecA - cotA
Correct Answer:
(b) cosecA + cotA
Solution:
10.
Simplify
[SSC CGL 05/12/2022 (1st Shift)]
(a) 8(√3 - 2)
(b) 12(√3 - 2)
(c) 12(√3 + 2)
(d) 8(√3 + 2)
Correct Answer:
(a) 8(√3 - 2)
Solution:
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