Question

if sin (A+B) = 1/2 and cos (A+B) = 1/2 then angle A=??​

Answer 1

Answer:

Angle A = 45°

Step-by-step explanation:

sin (A - B) = 1/2 and cos (A + B) = 1/2

sin (A - B) = sin 30° and cos (A + B) = cos 60°

A - B = 30° and A + B = 60°

A - B = 30°

A + B = 60°

____________

2A = 90°

____________

A = 90°/2

A = 45°