Solve sin5(theta) = cos2(theta), 0< theta <180

Dear student,
sin (5$\theta$) = cos (2$\theta$)
cos (90 - 5$\theta$) = cos (2$\theta$)
90 - 5$\theta$ = 2$\theta$
90 = 5$\theta$ + 2$\theta$
90 = 7$\theta$
$\theta$ = 90/7 = $\frac{\pi }{14}$


Regards