SOLUTION: how would you verify the following: Sin theta + Cos theta + (Tan theta)(Sin theta) = Sec theta + (Cos theta)(Tan theta)

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Question 864368: how would you verify the following:
Sin theta + Cos theta + (Tan theta)(Sin theta) = Sec theta + (Cos theta)(Tan theta)
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Sin theta + Cos theta + (Tan theta)(Sin theta) = Sec theta + (Cos theta)(Tan theta)
LHS
Sin+%28theta%29+%2B+Cos+%28theta%29+%2B+%28Tan+%28theta%29%29%28Sin+%28theta%29%29





%28Sin+%28theta%29%2Acos%28theta%29%29%2Fcos%28theta%29+%2B+%281%2Fcos%28theta%29%29
sin+%28theta%29%2B1%2Fcos%28theta%29
=sin+%28theta%29+%2Bsec%28theta%29
Simplify RHS

Sec theta + (Cos theta)(Tan theta)
sec%28theta%29%2B%28cos%28theta%29%2Asin%28theta%29%29%2Fcos%28theta%29%29
=sin+%28theta%29+%2Bsec%28theta%29

LHS = RHS