February 22, 2017

Homework Help: Confuses how my teacher got this?

Posted by Jill on Friday, December 9, 2011 at 12:38pm.

The question says "Given that cos(theta)=(-7/25) and sin(theta)>0, calculate the exact values of tan(theta) and csc(theta).

We start out by drawing a triangle.
25 is on the side of the hypotenuse and -7 is on the adjacent side, because cos is adjacent over hypotenuse.

Somehow he gets to this halfway through: 225-49=176.
I can understand where he got the 49.
Probably from (-7)^2

I thought you had to use the equation
a^2+b^2=c^2 or
So it would be y^2 +(-7)^2=25^2
(-7)^2 is 49. Subtract this from 25^2, so we can get y^2 by itself.
Would that be going the right way?

I'm mainly just confused about how he got the 225?

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