☰
✕
Home
Mock Test
State PCS
Railway
SSC
HSSC
DSSSB
RO/ARO
UPSC
Trigonometry (Part-4)
📆 July 11, 2025
Total Questions: 16
1.
For what value of t is the value of sin² (t), half of the value of tan(t) ?
[SSC CGL 23/09/02024 (3rd Shift)]
(a) 60ᵒ
(b) 45ᵒ
(c) 30ᵒ
(d) 22.5
Correct Answer:
(b) 45ᵒ
Solution:
2.
If tanA = 1/√10, A is an acute angle, then the value of sinA + cosecA is :
[SSC CGL 23/09/2024 (3rd Shift)]
(a) 11√10
(b) 1√10
(c) 12√11
(d) 10√11
Correct Answer:
(c) 12√11
Solution:
3.
If Sec θ = √2, then cosecθ is equal to:
[SSC CGL 24/09/2024 (1st Shift)]
(a) 0
(b) √2
(c) -1
(d) 1
Correct Answer:
(b) √2
Solution:
4.
If 2 sin²θ + 3 sinθ - 2 = 0, (0 ≤ θ ≤ 90ᵒ), then the value of θ is:
[SSC CGL 24/09/2024 (1st Shift)]
(a) 15ᵒ
(b) 30ᵒ
(c) 60ᵒ
(d) 45ᵒ
Correct Answer:
(b) 30ᵒ
Solution:
5.
If sin 3A = cos(A-26ᵒ), then A = _______, where 3A is an acute angle.
[SSC CGL 24/09/2024 (1st Shift)]
(a) 29ᵒ
(b) 52ᵒ
(c) 26ᵒ
(d) 78ᵒ
Correct Answer:
(a) 29ᵒ
Solution:
6.
The value of (sinA + cosecA)² + (cosA + secA)² is:
[SSC CGL 24/09/2024 (2nd Shift)]
(a) 3 + tan²A + cot²A
(b) 7 + tan²A + cot²A
(c) 5 + tan²A + cot²A
(d) 1 + tan²A + cot²A
Correct Answer:
(b) 7 + tan²A + cot²A
Solution:
7.
If 3 tan A = 4 and A is an acute angle, then the value of 4 sinA + 3cosA is:
[SSC CGL 24/09/2024 (2nd Shift)]
(a) 1
(b) 3
(c) 4
(d) 5
Correct Answer:
(d) 5
Solution:
8.
If 10 sin²θ + 6 cos² θ = 7, 0 < θ < 90ᵒ then find the value of tan θ.
[SSC CGL 24/09/2024 (3rd Shift)]
(a) √3
(b) 1
(c) 1/√3
(d) 1/2
Correct Answer:
(c) 1/√3
Solution:
9.
Solve it-
[SSC CGL 24/09/2024 (3rd Shift)]
(a) 11/7
(b) 21/32
(c) 32/21
(d) 7/11
Correct Answer:
(c) 32/21
Solution:
10.
Evaluate
[SSC CGL 25/09/2024 (1st Shift)]
(a) -1
(b) 1
(c) 0
(d) 2
Correct Answer:
(b) 1
Solution:
Submit Quiz
1
2
Next »
« Previous Post
Next Post »
Related Posts
Electric current – part (1)
Space Part-3
Optics part (3)
Computer and Information Technology Part (2)
Heat and Thermodynamics part-(2)
Motion Under Gravity
