Trigonometry graph question.

Question

(a) Sketch the graph of $\tan x$ for values of $x$ between $0$ and $360$. (b) Solve the equation : $\cot x = 0.15$

for values of $x$ between $0$ and $360$. Express your answer(s) in degrees.

(c) Evaluate $cosec x$ if $\cot x = 0.15$.

Answer 1

Part b:

$\cot(\theta) = 0.15$

$\frac{1}{\tan(\theta)} = 0.15$

$0.15 \tan(\theta) = 1$

$\frac{1}{0.15} = \tan(\theta)$

$20/3 = \tan(\theta)$

$\arctan(20/3) = \theta$

$\theta = 81.46923439$

Part c:

$\csc(81.46923439) = ?$

Try and figure this one on your own