Answer
(a) $csc~30°=2$
(b) $cot~60°=\frac{\sqrt 3}{3}$
(c) $cos~30°=\frac{\sqrt 3}{2}$
(d) $cot~30°=\sqrt 3$
Work Step by Step
(a) $csc~30°=\frac{1}{sin~30°}=\frac{1}{\frac{1}{2}}=2$
(b) $cot~60°=tan(90°-60°)=tan~30°=\frac{\sqrt 3}{3}$
(c)
$cos^230°+sin^230°=1$
$cos^230°=1-(\frac{1}{2})^2=\frac{3}{4}$
$cos~30°=\frac{\sqrt 3}{2}$
(d) $cot~30°=\frac{1}{tan~30°}=\frac{1}{\frac{\sqrt 3}{3}}=\frac{3}{\sqrt 3}=\sqrt 3$
