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Trigonometry (Part-10)
📆 July 28, 2025
Total Questions: 50
1.
The value of (1 + cotA - cosecA) (1 + tanA + secA) - 1 is:
[SSC CPO 09/11/2022 (Afternoon)]
(a) 1
(b) 2
(c) 3
(d) 0
Correct Answer:
(a) 1
Solution:
2.
Given that A and B are second quadrant angles, sinA = 1/3 and sinB = 1/5, then find the value of cos(A-B).
[SSC CPO 09/11/2022 (Evening)]
(a)
(b)
(c)
(d)
Correct Answer:
(c)
Solution:
3.
Simplify
[SSC CPO 09/11/2022 (Evening)]
(a) 1 + cotA tanB
(b) 1 + tanA cotB
(c) 1 - sinA cosB
(d) 1 - cotA tanB
Correct Answer:
(a) 1 + cotA tanB
Solution:
4.
The value of the expression cos² 45º + cos² 135º + cos² 225º + cos² 315º is:
[SSC CPO 10/11/2022 (Morning)]
(a) 2
(b) 1/2
(c) 3/2
(d) 1
Correct Answer:
(a) 2
Solution:
5.
Simplify
[SSC CPO 10/11/2022 (Morning)]
(a) secθ
(b) sinθ
(c) cotθ
(d) tanθ
Correct Answer:
(c) cotθ
Solution:
6.
If cos48º = m/n, then sec 48º - cot 42º is equal to:
[SSC CPO 10/11/2022 (Morning)]
(a)
(b)
(c)
(d)
Correct Answer:
(d)
Solution:
7.
Solve the following equation.
[SSC CPO 10/11/2022 (Morning)]
(a) tanθ
(b) cosecθ
(c) secθ
(d) 1
Correct Answer:
(c) secθ
Solution:
8.
If the value of cosecA + cotA =m, then the value of cosecA - cotA is:
[SSC CPO 10/11/2022 (Afternoon)]
(a) 1/m
(b) m
(c) √m
(d) m²
Correct Answer:
(a) 1/m
Solution:
9.
The value of (cosecA + cotA) (1 - cosA) is:
[SSC CPO 10/11/2022 (Evening)]
(a) cosA
(b) tanA
(c) cotA
(d) sinA
Correct Answer:
(d) sinA
Solution:
10.
If cosA = sin²A, and a sin¹² A + b sin¹⁰A + c sin⁸A + sin⁶A = 1, then a + b + c = ?
[SSC CPO 11/11/2022 (Morning)]
(a) 7
(b) 8
(c) 9
(d) 6
Correct Answer:
(a) 7
Solution:
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