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Simplify (1+tan^(2)theta)(1-sintheta)(1+...

Simplify `(1+tan^(2)theta)(1-sintheta)(1+sintheta)`

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`(1+tan^(2)theta)(1-sintheta)(1+sintheta)`
`=(1+tan^(2)theta)[(1)^(2)-(sintheta)^(2)]=(1+tan^(2)theta)(1-sin^(2)theta)`
`=sec^(2)theta*cos^(2)theta` (using the identities `sec^(2)theta=1+tan^(2)thetaandsin^(2)theta+cos^(2)theta=1)`
`(1)/(cos^(2)theta)*cos^(2)theta=1`
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