SOLUTION: Verify: sin x+ (sin x*tan^2 x)= tan x*sec x

Algebra ->  Trigonometry-basics -> SOLUTION: Verify: sin x+ (sin x*tan^2 x)= tan x*sec x      Log On


   



Question 755308: Verify: sin x+ (sin x*tan^2 x)= tan x*sec x
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Verify: sin x+ (sin x*tan^2 x)= tan x*sec x
starting with LHS
sin x+ (sin x*tan^2 x
=sinx(1+tan^2x)
=sinxsec^2x
=sinx*secx*secx
=sinx*1/cosx*secx
=(sin/cos)*sec
=tanxsecx
verified LHS=RHS