Question

Suppose in a right triangle, cos(t)=3/4. How do you find: Sin(t)?

Answer 1

`sin(t)=sqrt(7)/4`

Explanation:

If `cos(t)=3/4`
then a triangle with a hypotenuse of length `4`
in standard position (`/_t` at origin and adjacent side along positive X-axis)
would have an opposite side with a length of `sqrt(4^2-3^2) = sqrt(7)`
(based on Pythagorean Theorem)

`sin= ("opposite")/("hypotenuse")`

So `sin(t) = sqrt(7)/4`