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

Question 874212: Verify that cos(x)+sin(x)tan(x)=sec(x)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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.
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