If sin A=cos B and both A and B are acute angles, what is the value of A+B?
Show answer & explanation
Correct answer: C
Explanation
cos B = sin(90° − B)
sin A = sin(90° − B)
Since both A and B are acute angles,
A = 90° − B
Therefore, A + B = 90°
SSC Selection Post - Higher Secondary Level - 29th August 2025 - Shift 2 • Quantitative Aptitude • Q32
If sin A=cos B and both A and B are acute angles, what is the value of A+B?
Correct answer: C
Explanation
cos B = sin(90° − B)
sin A = sin(90° − B)
Since both A and B are acute angles,
A = 90° − B
Therefore, A + B = 90°