Question

How do you find all six trigonometric function of `theta` if the point `(-3,0)` is on the terminal side of `theta`?

Answer 1

If `(-3,0)` is on the terminal side of `theta`
#{:(sin(theta)=0,color(white)("xxx"),csc(theta)" is undefined"), (cos(theta)=-1,,sec(theta)=-1), (tan(theta)=0,,cot(theta)" is undefined") :}#

Explanation:

`(-3,0)` is a point on the negative X-axis;
all trigonometric values can be derived from this fact and the basic definition of each function.