Question

If sinα = cosα, then the value of α is

• A. 30°
• B. 45°
• C. 60°
• D. 90°

Answer 1

The Correct Option is B

Correct answer: 45°

Explanation: 
Given: \[ \sin \alpha = \cos \alpha \] This is true when \( \alpha = 45^\circ \), because at \( 45^\circ \), both sine and cosine have the same value: \[ \sin 45^\circ = \cos 45^\circ = \frac{\sqrt{2}}{2} \]

Hence, the value of \( \alpha \) is 45°.