Answer
$g'(t)=13$ $cos$ $t-5$ $sin$ $t$
Work Step by Step
We solve this problem by implementing two rules for trigonometry functions, first we use: $\frac{d}{dx}(cos$ $x)$ $=$ $-sin$ $x$. Then we implement the other rule: $\frac{d}{dx}(sin$ $x)$ $=$ $cos$ $x$.