SOLUTION: 8. If x is an angle and tan x = 5, find the exact value of the trigonometric functions sin x and cos x.

Algebra ->  Trigonometry-basics -> SOLUTION: 8. If x is an angle and tan x = 5, find the exact value of the trigonometric functions sin x and cos x.      Log On


   

Question 771390: 8. If x is an angle and tan x = 5, find the exact value of the trigonometric functions sin x and cos x.
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
tan x = opp/adj = 5/1

hyp+=sqrt%281%5E2%2B5%5E2%29=sqrt%2826%29

Therefore
sin%28x%29=%285%2Asqrt%2826%29%29%2F26%0D%0A
cos%28x%29=sqrt%2826%29%2F26