1. ## trig functions

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

2. Originally Posted by >_<SHY_GUY>_<
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

$\csc(\theta)=\frac{1}{\sin(\theta)}=4 \iff \sin(\theta)=\frac{1}{4}$

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

$\theta = \pi - \sin^{-1} \left( \frac{1}{4} \right)$

I hope that this gets you started.

Good luck.