SOLUTION: Express each trigonmetric ratio as a fraction for angle 0. AC = 26 BC = 24 Triangle image: imgur.com/M61AaGd.jpg

Algebra ->  Triangles -> SOLUTION: Express each trigonmetric ratio as a fraction for angle 0. AC = 26 BC = 24 Triangle image: imgur.com/M61AaGd.jpg      Log On


   

Question 1118336: Express each trigonmetric ratio as a fraction for angle 0.
AC = 26
BC = 24
Triangle image: imgur.com/M61AaGd.jpg
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Angle theta; not angle 0.

I will do this for only two of the trigonometric ratios; you can do the others according to their definitions.

sin%28theta%29=BC%2FAC=24%2F26=12%2F13
highlight%28sin%28theta%29=12%2F13%29

The Pythagorean Theorem relationship will allow for cosine.
cos%5E2%28theta%29=1-sin%5E2%28theta%29
cos%28theta%29=sqrt%281-%2812%2F13%29%5E2%29
cos%28theta%29=sqrt%2813%5E2%2F13%5E2-12%5E2%2F13%5E2%29
cos%28theta%29=%28%28169-144%29%2F13%5E2%29
cos%28theta%29=sqrt%28%2825%2F13%29%5E2%29
highlight%28cos%28theta%29=5%2F13%29