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Trigonometry
📆 July 3, 2025
Total Questions: 50
1.
Find the value of tan 72⁰ - tan 27⁰ - tan 72⁰ tan 27⁰.
[SSC CGL 25/09/2024 (2nd Shift)]
(a) -1
(b) 1
(c) -2
(d) 0
Correct Answer:
(b) 1
Solution:
2.
Simplify
[SSC CGL 24/09/2024 (3rd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
3.
The value of the expression
[SSC CGL 19/09/2024 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
4.
SinA SinB = _______ .
[SSC CGL 18/09/2024 (3rd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
5.
If asin³x + bcos³ x = sin x cos x and asinx = bcosx ,then find the value of a² + b², provided that x is neither 0⁰ nor 90⁰ .
[SSC CGL 11/09/2024 (1st Shift)]
(a) 0
(b) 1
(c) a² - b²
(d) a² + b²
Correct Answer:
(b) 1
Solution:
6.
If p cos A = 2q sinA and 2p cosecA - q secA = 3, then tha value of p² + 4q² is:
[SSC CGL 10/09/2024 (2nd Shift)]
(a) 2
(b) 4
(c) 1
(d) 3
Correct Answer:
(b) 4
Solution:
7.
If tanA + sinA = x, tanA - sinA = y, what is the value of x² - y² ?
[SSC CGL 11/07/2024 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(a)
Solution:
8.
What is the value of
[SSC CHSL 11/07/2024 (2nd Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
9.
If f (p) = sinᵖ ⁺ ² x + cosᵖ ⁺ ² x, then the value of 6f (2) - 4f (4) + 10f (0) is:
[SSC CHSL 10/07/2024 (2nd Shift)]
(a) 12
(b) 10
(c) 11
(d) 14
Correct Answer:
(a) 12
Solution:
10.
If tan A = a tan B and sin A = b sinB, then the value of cos²A is:
[SSC CHSL 05/07/2024 (1st Shift)]
(a)
(b)
(c)
(d)
Correct Answer:
(b)
Solution:
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