SOLUTION: if cot x=3 and cos x>0, what is the exact value of sin x?

Algebra ->  Trigonometry-basics -> SOLUTION: if cot x=3 and cos x>0, what is the exact value of sin x?      Log On


   



Question 800122: if cot x=3 and cos x>0, what is the exact value of sin x?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
if cot x=3 and cos x>0, what is the exact value of sin x?
--------------
tan = 1/cot = 1/3 = y/x
---
--> r = sqrt(x^2 + y^2) = sqrt(10)
sine = y/r = sqrt(10)/10