00:01
Given this question, a point on the terminal side of an angle theta in standard position is given by the square of three halves, one half.
00:07
We have to find the exact value of each of the six trigonometric functions for theta.
00:11
So we know that r is equal to x squared plus y squared.
00:15
So first, the coordinates were squared of three halves and one half.
00:25
All we have to do is plug this in for x and y.
00:28
So we have r is equal to square root of a square root of three halves squared plus one half squared.
00:48
We would get r is equal to three -fourths plus one -fourth, which is simply squared of one, which is equal to one.
01:07
So we have r is equal to one.
01:10
We know that sine of theta is equal to y over r, cosine of theta is equal to x over r, and tangent of theta is equal to y over x...
