12. Trigonometric Functions

Find the derivative of the function.

$h(t)=\sin\left(t\right)\cos\left(t\right)$

Find the derivative of the function.

$f\left(x\right)=\frac{5\cos x}{2x^3}$

Find the derivative of the function.

$y=\frac{\sin\theta}{2+\cos\theta}$

Find the derivative of the function.

$r=\csc x-3\sin x+\tan x$

Find the derivative of the function.

$f\left(x\right)=4x^2\sec x-\sqrt{x}$

Find the derivative of the function.

$y=\frac{\cot\theta}{3+\sec\theta}$

Find the derivative of the function.

$f(x)=\sin(3x^2)$

Find the derivative of the function.

$y=3\cos^4\theta$

Find the derivative of the function.

$f\left(t\right)=\sec\left(4t+5\right)$