SOLUTION: please help me verify verify identity: cosx(tan^2x+1)=secx

Question 622092: please help me verify

verify identity:
cosx(tan^2x+1)=secx
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
This question was just answered and I'm not sure if this is the same person or not. If so, please let me know where you're stuck and what part(s) do not make sense to you. Thanks.

cosx(tan^2x+1)=secx

cosx*tan^2x+cosx=secx

cosx*(sin^2x)/(cos^2x)+cosx=secx

(sin^2x)/(cosx)+cosx=secx

(sin^2x)/(cosx)+cosx*(cosx)/(cosx)=secx

(sin^2x)/(cosx)+(cos^2x)/(cosx)=secx

(sin^2x+cos^2x)/(cosx)=secx

1/(cosx)=secx

secx=secx

So this verifies the identity.
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