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Trigonometry (Part-8)
📆 July 22, 2025
Total Questions: 50
31.
If 6cotθ = 5, then find the value of-
[SSC CHSL 14/03/2023 (2nd Shift)]
(a) 5
(b) 1
(c) 6
(d) 0
Correct Answer:
(c) 6
Solution:
32.
If - sinθ + cosecθ = 6, then what is the value of sinθ + cosecθ?
(a) 6
(b) √40
(c) √34
(d) √38
Correct Answer:
(b) √40
Solution:
33.
If √2sec²θ - 4 secθ + 2√2 = 0, then what is the value sin²θ + tan²θ ?
[SSC CHSL 14/03/2023 (3rd Shift)]
(a) 1/2
(b) 2/3
(c) 5/2
(d) 3/2
Correct Answer:
(d) 3/2
Solution:
34.
What is the value of-
[SSC CHSL 14/03/2023 (4th Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
Solution:
35.
Simplify the following expression.
[SSC CHSL 15/03/2023 (1st Shift)]
(a) 2 sinA
(b) 2 cosA
(c) 2 secA
(d) 2 tanA
Correct Answer:
(c) 2 secA
Solution:
36.
If sec x + tan x = 5 and cosec y - cot y = 1/3 then find the value of (sec x + cosec y) - (tan x - cot y).
[SSC CHSL 15/03/2023 (1st Shift)]
(a) 2.2
(b) 3.2
(c) 4.2
(d) 3.1
Correct Answer:
(b) 3.2
Solution:
37.
If A = a cosecθ + b cotθ and B = a cotθ + b cosecθ, then what is the value of A² - B² ?
[SSC CHSL 15/03/2023 (4th Shift)]
(a) ab
(b) (a + b)
(c) (a² - b²)
(d) (a - b)
Correct Answer:
(c) (a² - b²)
Solution:
38.
If cosecθ + cotθ = s, then what is the value of cosθ ?
[SSC CHSL 16/03/2023 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
39.
Find the value of tan x, if sec x + tan x = √3 and x lies between 0º and 90º.
[SSC CHSL 16/03/2023 (3rd Shift)]
(a) √3
(b) 1
(c) 1/√3
(d) 0
Correct Answer:
(c) 1/√3
Solution:
40.
Tan of complementary of an angles is same as which of the angles ?
[SSC CHSL 17/03/2023 (1st Shift)]
(a) sin of that angle
(b) cot of that angle
(c) cos of that angle
(d) cosec of that angle
Correct Answer:
(b) cot of that angle
Solution:
Complementary angle of tan = cot
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