Question

If sin 2A = cos (A-30), where 2A is an acute angle, find the value of A​

Answer 1

Answer:

45°

Step-by-step explanation:

sin 2A =cos(A-30°)

⇒Cos (90°-2A)=cos(A-30°)

Now,90-2A=A-30

⇒90+30=3A

⇒120=3A

A=120/3=45......So A=45°