Question

Solve the following equation
sin¢=cos(¢+20°)​

Answer 1

Explanation:

`\sin \: \phi = \cos( \phi + 20 \degree) \\ \\ \therefore \: \cos (90 \degree - \phi )= \cos( \phi + 20 \degree) \\ \\ \therefore \: 90 \degree - \phi = \phi + 20 \degree \\ \\ \therefore \: 90 \degree - 20 \degree = \phi +\phi \\ \\ \therefore \: 70 \degree = 2\phi \\ \\ \therefore \: \phi = (70 \degree)/(2) \\ \\ \huge \red { \boxed{ \therefore \: \phi = 35 \degree}}`