Question

Given t is a real number and (3/5, 4/5) is the point on the unit circle that corresponds to t, how do you find exact value of remaining trigonometric functions?

Answer 1

Use the unit circle definitions. They are exactly the set-up you have here:
Given `t` is a real number and `(x, y)` is the point on the unit circle that corresponds to `t`,

`sint=y`, so for this question, `sint = 4/5`

The definition continues:

`cost=x`, so for this question, `cost = 3/5`

`tant = y/x` so for this question, `tant = (4/5)/(3/5) = 4/5 * 5/3 = 4/3`

And so on.

(Yes, it really is just that. Don't make it more difficult.)