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

Trigonometric equation and identitie
Solve the equation
$$\displaystyle{\sin{{\left({x}°-{20}°\right)}}}={\cos{{42}}}°$$ for x, where 0 < x < 90

$$\displaystyle{\sin{{\left({x}-{20}\right)}}}={\cos{{\left({42}{d}{e}{g}\right)}}}$$
$$\displaystyle{\cos{{\left({42}{d}{e}{g}\right)}}}={0.743144825}$$
$$\displaystyle\in{v}{e}{r}{s}{\sin{{\left({0.743144825}\right)}}}$$ give angel = 48 deg