Finding trig functions given constraints

A function value is given along with constraints and I must find all other trig functions based on the given values.

Function value: is undefined

Constraints:

I can't completely figure out the solution but I've done some work "trying".

First..

meaning that x is equal to 0. because of the constraints I made an unit circle and assumed theta is

Therefore,

= ?

= ?

= undefined

= ?

= undefined

= ?

Am I on the right track? Could anyone also point me in the right direction?

Re: Finding trig functions given constraints

Hey vaironxxrd.

Are you just trying to find when the trig functions are undefined? If so then use the fact that tan(theta) = sin(theta)/cos(theta) and put all trig functions into rational functions (like I did with tan) and find when the denominator is equal to 0 (which will mean its undefined there).

Re: Finding trig functions given constraints

Quote:

Originally Posted by

**chiro** Hey vaironxxrd.

Are you just trying to find when the trig functions are undefined? If so then use the fact that tan(theta) = sin(theta)/cos(theta) and put all trig functions into rational functions (like I did with tan) and find when the denominator is equal to 0 (which will mean its undefined there).

Thank you for the advice Chiro. The question is asking me to find the values of all six trig functions, I assume I must use tan for that (as you said).

I'm just confused if I must make an unit circle and used the x,y,r values or just use an angle value. I feel the question doesn't give enough information for the x,y,r.

Re: Finding trig functions given constraints

One suggestion I have is use the fact for a circle, x = rcos(t) and y = rsin(t) for a circle of radius r centered at the origin. Once you solve for t in radians you can plug in the value to get the (x,y) point.

Re: Finding trig functions given constraints

Re: Finding trig functions given constraints