If sin A = cos B and both A and B are acute, what is A + B?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 90°.
sin A = cos B
⇒ sin A = sin(90° – B)
⇒ A = 90° – B
⇒ A + B = 90°
SSC CGL - 25 Sep 2025 - Shift 2 • Quantitative Aptitude • Q59
If sin A = cos B and both A and B are acute, what is A + B?
Correct answer: B
Explanation
The correct answer is option 2 i.e. 90°.
sin A = cos B
⇒ sin A = sin(90° – B)
⇒ A = 90° – B
⇒ A + B = 90°