If (sin θ - cos θ) = 0, then the value of sin(π - θ) + sin( (π)/2 - θ) is:

If (sin θ - cos θ) = 0, then the value of sin(π - θ) +…

If (sin θ - cos θ) = 0, then the value of sin(π - θ) + sin( $\frac{π}{2}$ - θ) is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. $\sqrt2$

Given:

(sin θ - cos θ) = 0

Calculations:

⇒ (sin θ - cos θ) = 0

⇒ sin θ = cos θ

When θ = 45°

⇒ sin(π - θ) + sin( $\frac{π}{2}$ - θ)

⇒ sin(180° - 45°) + sin(90° - 45°)

⇒ sin 135° + sin 45°

⇒ 2 × sin 45°

⇒ 2 × 1/√2

⇒ √2