SOLUTION: In this graph what is the cosine of ⊖? https://s17.postimg.org/x9b7hf3vj/sine0.png A.) {{{ 45 }}}degrees B.) {{{ 60 }}} degrees C.) {{{ 3/5 }}} D.) {{{ 4/5 }}} Ty.

Algebra ->  Test -> SOLUTION: In this graph what is the cosine of ⊖? https://s17.postimg.org/x9b7hf3vj/sine0.png A.) {{{ 45 }}}degrees B.) {{{ 60 }}} degrees C.) {{{ 3/5 }}} D.) {{{ 4/5 }}} Ty.      Log On


   



Question 1058388: In this graph what is the cosine of ⊖?
https://s17.postimg.org/x9b7hf3vj/sine0.png
A.) +45+degrees
B.) +60+ degrees
C.) +3%2F5+
D.) +4%2F5+
Ty.

Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
tan%28theta%29=6%2F8=3%2F4
So then,
r%5E2=6%5E2%2B8%5E2=100
r=10
and then,
cos%28theta%29=8%2F104%2F5

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


I must redraw the figure,with a vertical line drawn from (8,6)
down to the x-axis, forming a right triangle:



We calculate hypotenuse "a" by the Pythagorean theorem:

a%5E2%22%22=%22%226%5E2%2B8%5E2
a%5E2%22%22=%22%2236%2B64
a%5E2%22%22=%22%22100
a%22%22=%22%22sqrt%28100%29
a%22%22=%22%2210

cos%28theta%29%22%22=%22%22adjacent%2Fhypotenuse%22%22=%22%228%2F10%22%22=%22%224%2F5

Choice D.)

Edwin