Question

Solve the equation sin (x° - 20°) = cos 42° for x, where 0 < x < 90.

Answer 1

sin(x°-20°)=cos42°
sin(x°-20°)=sin(90°-42°)
x°-20°=48°
x°=48°+20°
x°=68°

hope this answer will help you dear.

Answer 2

$\sin(x - 20) = \cos(42)$

$\sin(x - 20) = \sin(90 - 42)$

$(x - 20) = (90 - 42)$

$x = 68$