Question

How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through `(0.3, 0.4)`?

Answer 1

See explanation below

Explanation:

If terminal side passes trhough (0.3, 0.4), then `theta` is such that
`tan theta=0.4/0.3=4/3`
Because `tan theta=sin theta/cos theta` and `cos theta=sqrt(1-sin^2 theta)` then `cos theta=3/sqrt15` and `sin theta= sqrt10/5`.
Following definitions:
`cot theta=3/4, sec theta= sqrt15/3` and `csc theta=5/sqrt10`