# If A and B are complementary angles, then (a) sin A = sin B (b) cos A = cos B (c) tan A = tan B (d) sec A = cosec B

Given that A and B are complementary angles

A + B = 90°

A + B = 90°

A = 90° – B

On putting sec on both sides,

sec A = sec (90° – B )

sec A = cosec B

[ sec (90° -θ ) = cosec θ )]

The correct option is (d) sec A = cosec B