00:01
Note negative 4, negative 7 be a point on the terminal side of theta.
00:05
Find the exact values of sine theta, secant theta, and tangent theta.
00:09
I'm going to begin by drawing a picture, noting that this is in the third quadrant.
00:14
So i'm going to have the point, negative 4, negative 7, which means that we have a distance for our x as negative 4 and for our y is negative 7.
00:26
So now we need to find out what r is.
00:29
I'm going to use the pythagorean theorem, since we have a right triangle, negative 4 squared, negative 7 squared, equals r squared.
00:38
So 16 plus 49, that's going to be 65 equals to r squared.
00:45
So r is going to be the square root of 65.
00:48
So i'm going to put that into my triangle.
00:51
Here's my angle theta.
00:53
So sign, as we know, is opposite over hypotenuse.
00:58
So when i look at my triangle, i see that negative 7 is opposite, and the hypotenuse r is square root of 65...