SOLUTION: verify that sec(x)= sin^2(x)/cos(x)+ cos(x)

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Question 523713: verify that sec(x)= sin^2(x)/cos(x)+ cos(x)
Answer by lwsshak3(11628) About Me  (Show Source):
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verify that sec(x)= sin^2(x)/cos(x)+ cos(x)
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Starting with right side:
sin^2(x)/cos(x)+ cos(x)
[(1-cos^2)/(cos)]+cos
[(1/cos)-(cos^2/cos)]+cos
(1/cos)-cos+cos
1/cos=sec
verified: right side=left side