Question

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

Answer 1

A + B = 90°

B = 90° - A sin 

B = sin (90° - A) 

sin B = cos A 

Taking the reciprocal, 

cosec B = sec A 

Or 

sec A = cosec B