Question

What value of x will satisfy the equation:cos( x) = sin( 2x+ 57 )

Answer 1

Explanation:

`cos \: x = sin \: (2x + 57) \\ \\ \therefore \: sin(90 \degree - \: x) = sin \: (2x + 57) \\ \\ \therefore \:90 - \: x = 2x + 57 \\ \\ 90 + 57 \: = 2x + 3 \\ \\ \therefore \:3x = 147 \\ \\ \therefore \: x = (147)/(3) \\ \\ \huge \orange{ \boxed{\therefore \: x = 49 \degree}}`