Answer
$cos \theta=\frac{4}{5}$
$tan \theta=\frac{3}{4}$
$csc \theta=\frac{5}{3}$
$sec \theta=\frac{5}{4}$
$cot \theta=\frac{4}{3}$
Work Step by Step
Since $sin \theta=\frac{3}{5}$, we can label the opposite side as having length 3 and the hypotenuse as having length 5.
The Pythagorean Theorem gives
adjacent side $=\sqrt {5^{2}-3^{2}}=4$
The other five trigonometric functions are given as follows:
$cos \theta=\frac{4}{5}$
$tan \theta=\frac{3}{4}$
$csc \theta=\frac{5}{3}$
$sec \theta=\frac{5}{4}$
$cot \theta=\frac{4}{3}$
