Question

Assertion (A): If tan A = 1, then 2 sin A cos A= 1

Reason (R): tan 45° = 1

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

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

Explanation:

If tan⁡ A = 1 ⟹ A = 45°

Then 2 sin⁡ A cos⁡ A = sin⁡² A = sin⁡ 90° = 1 so Assertion is true.

Reason tan⁡ 45° = 1 is also true.