Answer
$tan\theta= \sqrt 3$,
$cot\theta= \frac{\sqrt 3}{3}$,
$sec\theta= 2$,
$csc\theta= \frac{2\sqrt 3}{3}$.
Work Step by Step
Given $sin\theta=\frac{\sqrt 3}{2}, cos\theta=\frac{1}{2}$, we have:
$tan\theta=\frac{sin\theta}{cos\theta}=\sqrt 3$,
$cot\theta=\frac{cos\theta}{sin\theta}=\frac{\sqrt 3}{3}$,
$sec\theta=\frac{1}{cos\theta}=2$,
$csc\theta=\frac{1}{sin\theta}=\frac{2\sqrt 3}{3}$.
