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Trigonometry (Part-3)
π July 9, 2025
Total Questions: 50
11.
If tan4ΞΈ. tan6ΞΈ = 1, where 6ΞΈ is an acute angle, then find the value of Cot5ΞΈ.
[SSC CGL 12/09/2024 (3rd Shift)]
(a) β3
(b) -β3
(c) -1
(d) 1
Correct Answer:
(d) 1
Solution:
12.
Simplify
[SSC CGL 12/09/2024 (3rd Shift)]
(a) 1
(b) 0
(c) 13
(d) -13
Correct Answer:
(c) 13
Solution:
13.
If p(β3 + cot 30α΅) = tanΒ³60α΅ - 2sin60α΅, then the value of p is:
[SSC CGL 13/09/2024 (1st Shift)]
(a) -1
(b) 2β3
(c) 1
(d) β3
Correct Answer:
(c) 1
Solution:
14.
Simplify
[SSC CGL 13/09/2024 (1st Shift)]
(a) β3
(b) β6
(c) β2
(d) β5
Correct Answer:
(a) β3
Solution:
15.
If sin31α΅ = β, then the value of cot 59α΅ is:
[SSC CGL 13/09/2024 (1st Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
16.
Simplify
[SSC CGL 13/09/2024 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
17.
Simplify
[SSC CGL 13/09/2024 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
18.
If sinB = 15/17, what is value of cosB (secB - tanB) ? Given that 0 < B < Ο/2
[SSC CGL 13/09/2024 (2nd Shift)]
(a) 1/16
(b) 2/15
(c) 8/15
(d) 2/17
Correct Answer:
(d) 2/17
Solution:
19.
Simplify
[SSC CGL 13/09/2024 (3rd Shift)]
(a) 4
(b) 3
(c) 1
(d) 2
Correct Answer:
(b) 3
Solution:
20.
In a right angles Ξ ABC, β B = 90α΅, if tanA = 1, then 4 sinA cosA = ______ .
[SSC CGL 17/09/2024 (1st Shift)]
(a) 1
(b) 2
(c) 1/2
(d) 4
Correct Answer:
(b) 2
Solution:
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