SOLUTION: How can do you prove that secx - (tanx)(sinx) = cosx?

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Question 721039: How can do you prove that secx - (tanx)(sinx) = cosx?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
How can do you prove that
secx - (tanx)(sinx) = cosx?
Start with left side:
secx-(tanx)(sinx)
=(1/cosx)-(sinx/cosx)sinx
=(1/cosx)-sin^2x/cosx
=(1-sin^2x)/cos)
=cos^2x/cosx
=cosx
verified: left side=right side