00:01
All right, so let's plot this triangle on the coordinate grid.
00:05
We're told that the cotangent of the angle theta is 3 over 7, which just means the tangent is 7 over 3 because it's the reciprocal of cotangent.
00:20
It's always easier to work in terms of the main 3, so that will help.
00:24
And note that it's a positive value, but the secant is negative.
00:31
Secant is a reciprocal of cosine, so we would expect the cosine to also be negative.
00:37
So that means that the x value is negative.
00:41
If the x value is negative and a tangent is going to be, let me write it over here, a tangent is y over x and it's positive.
00:49
Y also has to be negative.
00:51
So this is going to be quadrant three that we're working with.
00:56
And we know that the y value is going to be 7, negative 7.
01:05
And then the x value is going to be negative 3.
01:20
So there's our triangle.
01:22
And that's our angle theta...