Question

For what value of θ, sin² θ + sin θ + cos² θ is equal to 2?

Options

• 45°

• 0°

• 90°

• 30°

Answer 1

90°

Explanation:

Given that,

⇒ sin² θ + sin θ + cos² θ = 2

⇒ (sin² θ + cos² θ) + sin θ = 2

⇒ 1 + sin θ = 2  ...[As sin² θ + cos² θ = 1]

⇒ sin θ = 1 = sin 90°

∴ θ = 90°