Answer
$θ°$ =$(\frac{\pi}{180})θ$ $rad$
$\frac{d}{dθ}(sinθ°)$ = $\frac{d}{dθ}(sin{\frac{\pi{θ}}{180}})$
$\frac{d}{dθ}(sinθ°)$ = ${\frac{\pi}{180}}(cos{\frac{\pi{θ}}{180}})$
$\frac{d}{dθ}(sinθ°)$ = ${\frac{\pi}{180}}(cosθ°)$
Work Step by Step
$θ°$ =$(\frac{\pi}{180})θ$ $rad$
$\frac{d}{dθ}(sinθ°)$ = $\frac{d}{dθ}(sin{\frac{\pi{θ}}{180}})$
$\frac{d}{dθ}(sinθ°)$ = ${\frac{\pi}{180}}(cos{\frac{\pi{θ}}{180}})$
$\frac{d}{dθ}(sinθ°)$ = ${\frac{\pi}{180}}(cosθ°)$