SOLUTION: Verify that cos(x)+sin(x)tan(x)=sec(x)

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Question 874212: Verify that cos(x)+sin(x)tan(x)=sec(x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
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cos(x)+sin(x)tan(x)=sec(x)


cos(x)+sin(x)*sin(x)/cos(x)=sec(x)


cos(x)+sin^2(x)/cos(x)=sec(x)


cos(x)*cos(x)/cos(x)+sin^2(x)/cos(x)=sec(x)


cos^2(x)/cos(x)+sin^2(x)/cos(x)=sec(x)


( cos^2(x) + sin^2(x) )/cos(x)=sec(x)


( 1 )/cos(x)=sec(x)


1/cos(x)=sec(x)


sec(x)=sec(x)


The identity is verified.