Question

How do you find the sine, cosine, and tangent of 19pi/2 radians?

Answer 1

`sin((3pi)/2) = -1`
`cos((3pi)/2) = 0`
`tan((3pi)/2) =`infinity/undefined

Explanation:

If we take away `2pi` radians from the angle, it will still be the same angle. So, we do that until it is a more recognizable angle. Since `(4pi)/2` is the same as `2pi`, we will use that.

`(19pi)/2 - (4pi)/2 - (4pi)/2 - (4pi)/2 - (4pi)/2 = (3pi)/2`
Now to find the sin, cos, and tan values of `(3pi)/2`, use the unit circle.

`sin((3pi)/2) = -1`
`cos((3pi)/2) = 0`
`tan((3pi)/2) =`infinity/undefined