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

Question 622088: 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!
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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