SOLUTION: Simplify (sin(x)tan(x))/cos(x) Have tried (sin(x)[sin(x)/cos(x)](cos(x)) then sin(x)sin(x) but when I put sin^2(x) as the answer it says I'm wrong

Algebra ->  Trigonometry-basics -> SOLUTION: Simplify (sin(x)tan(x))/cos(x) Have tried (sin(x)[sin(x)/cos(x)](cos(x)) then sin(x)sin(x) but when I put sin^2(x) as the answer it says I'm wrong      Log On


   

Question 569894: Simplify (sin(x)tan(x))/cos(x)
Have tried (sin(x)[sin(x)/cos(x)](cos(x))
then sin(x)sin(x) but when I put sin^2(x) as the answer it says I'm wrong
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(sin(x)tan(x))/cos(x)

(sin(x)[sin(x)/cos(x)])/cos(x)


(sin^2(x)/cos(x))/cos(x)


(sin^2(x)/cos(x))/(cos(x)/1)


(sin^2(x)/cos(x))*(1/cos(x))


(sin^2(x)/cos^2(x))


tan^2(x)


So the entire expression simplifies to tan^2(x)