Question

If sin 2A=cos(A-6 0 )where 2A and (A-6 0 ) are both acute angles then the value of A =

Answer 1

Answer:

A=50°

Step-by-step explanation:

sin 2A= cos(A-60°)

sin 2A= cos(90°-2A)

cos(90°-2A)=cos(A-60°)

90°-2A=A-60°

90°+60°=3A

3A=150°

A=150°/3

A=50°