Question

what is the value of x s i n (x + 22 degrees )=cos( 2x - 7 degrees )enter your answer in the Box x =

Answer 1

We know that

if  sin (x + 22°)=cos (2x - 7°)
then 
(x + 22°)  and (2x - 7°)------> are complementary angles
so
(x + 22°) +(2x - 7°)=90-------> 3x+15=90------> 3x=75------> x=25°

the answer is
x=25°