Question

Assertion (A): If 2 sin² θ = 1 then θ = 30°.

Reason (R): sin 30° = `1/2`.

Options

• Both A and R are true and R is the correct reason for A.

• Both A and R are true but R is the incorrect reason for A.

• A is true but R is false.

• A is false but R is true.

Answer 1

A is false but R is true.

Explanation:

2 sin² θ = 1 ⇒ sin² θ = `1/2` = sin θ = `1/sqrt2`

θ = 45°, not 30°. So Assertion is false.