00:01
Okay, so if tangent of theta is equal to 2 root 5 over 15, and is not in quadrant 1, find sine theta.
00:22
Sorry, i ran out of room there.
00:23
Find sign theta.
00:27
Okay, so tangent is going to be our y over our x coordinate.
00:31
If this is equal to 2 root 5 over 15, and saying y equals 2 root 5 over 15.
00:39
Times x and so we know that x squared plus y squared equals one because these are coordinate functions on the unic circle this simplifies to x squared plus uh four times five over 15 squared x squared equals one this is x squared times one plus um let's just say 50 15 squared plus 20 over 15 squared.
01:22
1 plus 1.
01:27
Oh, no, no, no, there we go.
01:28
I have it.
01:29
It's the 15 squared.
01:34
So we multiply everything by 15 squared.
01:37
And then divide over the numerator.
01:39
This is saying that x, i'm on my research, x squared is equal to 15 squared over 15 squared plus 20.
01:48
So if we plug this into our handy -dandy calculator, this is saying x, which would be.
01:56
Cosine theta is the square root of 15 squared divided by 15 squared plus 20...