Question

How do you find all six trigonometric function of `theta` if the point (-1, -2) is on the terminal side of `theta`?

Answer 1

#{: (sin(theta)=-2/sqrt(5),color(white)("xxxx"),csc(theta)=-sqrt(5)/2), (cos(theta)=-1/sqrt(5),,sec(theta)=-sqrt(5)), (tan(theta)=2,,cot(theta)=1/2) :}#

Explanation:

Apply the basic definitions (e.g. #sin="opposite"/"hypotenuse") to the following diagram: