Q1 · medium · PYQ 2023
If cos(A + B) = 0 and sin(A – B) = 0, then what is the value of angle A and angle B? (0 degree < A, B ≤ 90 degree)
- 20 degree, 70 degree
- 45 degree, 45 degree
- 60 degree, 30 degree
- 15 degree, 75 degree
Q2 · medium · PYQ 2023
If sec x – tan x = 5 and cosec y – cot y = 1/3, then find the value of (sec x – cosec y) – (tan x – cot y).
- 2.2
- 4.2
- 3.2
- 3.1
Q3 · medium · PYQ 2023
If cotθ = 9/17, find the value of cosec²θ.
- 1 81/289
- 9/17
- 8/17
- 208/289
Q4 · medium · PYQ 2023
If sin A + sin² A = 1, then the value of the expression (cos² A + cos⁴ A) is ______.
- 2
- 3/2
- 1
- 1/2
Q5 · medium · PYQ 2025
In a right triangle ABC, right-angled at B, if tan A = 1/√3, what is the value of 2 sin A cos A?
- √3/8
- √3/5
- √3/7
- √3/2