how can you find the trig functions of...?
1. csc theta= 4 Constraint: cot theta < 0
2. tan is undefined constraint : pi < or equal to theata and 2 pi is greater than or equal to theta.
any help will be appreciated...thank you
First remember that
$\displaystyle \csc(\theta)=\frac{1}{\sin(\theta)}=4 \iff \sin(\theta)=\frac{1}{4}$
We know that sine is only postive in quadrants I and II
our constraint is that cotangent is negative.
The cotangent is negative in quadrants II and III.
So Theta is equal to
$\displaystyle \theta = \pi - \sin^{-1} \left( \frac{1}{4} \right)$
I hope that this gets you started.
Good luck.