☰
✕
Home
Mock Test
State PCS
Railway
SSC
HSSC
DSSSB
RO/ARO
UPSC
Trigonometry (Part-5)
📆 July 14, 2025
Total Questions: 50
41.
Find the value of-
[Graduate Level 24/06/2024 (Shift-3)]
(a) -1
(b) 0
(c) 1
(d) 1/2
Correct Answer:
(b) 0
Solution:
42.
If sin (5x - 40º) = cos (5y + 40º), then the value of x + y is:
[Graduate Level 24/06/2024 (Shift-3)]
(a) 18º
(b) 15º
(c) 40º
(d) 20º
Correct Answer:
(a) 18º
Solution:
43.
The sides of a right angled triangle, right angled at B, are 6,8 and 10 units. C is the vertex opposite to the side with length 8 units. What is the value of tan²A + cos²C ?
[Graduate Level 25/06/2024 (Shift-3)]
(a) 369/400
(b) 125/400
(c) 321/400
(d) 325/400
Correct Answer:
(a) 369/400
Solution:
44.
If sinθ + cosecθ = √5, then the value of sin³θ + cosec³θ is:
[Graduate Level 26/06/2024 (Shift-3)]
(a) 1/√5
(b) √5
(c) 2√5
(d) 0
Correct Answer:
(c) 2√5
Solution:
45.
If cos2θ = 0, where θ is an acute angle, then find the value of sin (75º - θ).
[Graduate Level 26/06/2024 (Shift-3)]
(a) √2 + 1
(b) 1/2
(c) √2 - 1
(d) 1/√2
Correct Answer:
(b) 1/2
Solution:
46.
Simplify
[Graduate Level 26/06/2024 (Shift-4)]
(a) 5/11
(b) 11/7
(c) 11/7
(d) 7/11
Correct Answer:
(c) 11/7
Solution:
47.
Find the value of (tan²θ + tan⁴θ).
[SSC CPO 03/10/2023 (1st Shift)]
(a) Sec²θ - Sec⁴θ
(b) Cot²θ - Tan²θ
(c) Sec⁴θ + Sec²θ
(d) Sec⁴θ - Sec²θ
Correct Answer:
(d) Sec⁴θ - Sec²θ
Solution:
48.
If cosθ - sinθ = √2 sinθ, then (cosθ + sinθ) is:
[SSC CPO 03/10/2023 (1st Shift)]
(a) -√2 sinθ
(b) √2 tanθ
(c) √2 cosθ
(d) -√2 cosθ
Correct Answer:
(c) √2 cosθ
Solution:
49.
The value of (1 + sin⁴A - cos⁴A) cosec²A is:
[SSC CPO 03/10/2023 (2nd Shift)]
(a) -1
(b) 1
(c) -2
(d) 2
Correct Answer:
(d) 2
Solution:
50.
Simplify
[SSC CPO 03/10/2024 (2nd Shift)]
(a) 8/15
(b) 7/15
(c) √2/15
(d) 2√2/15
Correct Answer:
(a) 8/15
Solution:
Submit Quiz
« Previous
1
2
3
4
5
« Previous Post
Next Post »
Related Posts
Space Part-3
Electric current – part (2)
Heat and Thermodynamics part-(1)
Nuclear physics-part (2)
Physical Properties of Matter
Optics part (1)
