Question

If \( \sin \theta = \cos \theta \), \( 0^\circ \leq \theta \leq 90^\circ \), then the value of \( \theta \) will be:

• A. 60°
• B. 45°
• C. 30°
• D. 0°

Hint:

Whenever \( \sin \theta = \cos \theta \), the angle is \( 45^\circ \) because in an isosceles right triangle both perpendicular sides are equal.

Answer 1

The Correct Option is B

Step 1: Use the trigonometric identity.
When \( \sin \theta = \cos \theta \), divide both sides by \( \cos \theta \): \[ \tan \theta = 1 \]
Step 2: Solve for \( \theta \).
\[ \tan \theta = 1 \Rightarrow \theta = 45^\circ \]
Step 3: Final answer.
\[ \boxed{\theta = 45^\circ} \]