Question

cos²x = sin(x-15), find x
pls give step by step explanation

Answer 1

Step-by-step explanation:

-1 ≤ sin(x-15) ≤ 1

-1≤cos2x≤1

-1≤2cos²x-1≤1

-1+1≤2cos²x-1+1≤1+1

0≤2cos²x≤2

0/2≤2cos²x/2≤2/2

0≤cos²x≤1

The two solution of the equatioms are

-1≤sin(x-15)≤1 0≤cos²x≤1

Common solution is (0,1)

sin(x-15) is either in 1st or second quadrant

In first quadrant we qill not get any solution

In second quadrant we get

x=