Question

Assertion (A): In ΔABC, ∠B = 90°, sin C = 0.6, then cos A = 0.8.

Reason (R): sin C = cos (90 − C) = cos A.

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:

sin C = 0.6 = cos A = sin C = 0.6, not 0.8, so the assertion is false but the reason sin C = cos(90° − C) = cos A is correct.