00:01
The first thing to figure out is what quadrant i'm in.
00:02
I know that cosecant is four.
00:05
Okay, cosecant is just the reciprocal of sine.
00:08
So this means that sine, the reciprocal of four is just 1 4th, so it's a numerator and denominator.
00:14
I know sine is positive, and sine has to deal with the y -axis, okay? and i also know that cosine is negative.
00:23
Cosine is the x value.
00:24
This means i'm in the second quadrant.
00:26
So what i can do from here is draw a right triangle with angle t.
00:34
Cosecant is four over one, or sine is one over four.
00:37
Opposite is one, hypotenuse is four.
00:40
And how do i find my missing side? well, if i know two angles in a right triangle, how do i solve for the third? pythagorean theorem.
00:48
So one squared is one, plus b squared equals 16.
00:52
Subtract one from both sides...