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Find the solution of sinA(1+tanA)+cosA(1...

Find the solution of `sinA(1+tanA)+cosA(1+cotA)`

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`sinA(1+tanA)+cosA(1+cotA)`
`=sinA(1+tanA)+cosA(1+1/tanA)`
`=sinA(1+tanA)+cosA((1+tanA)/tanA)`
`=(1+tanA)[sinA+cosA/tanA]`
`=(1+tanA)[sinA+cosA/(sinA/cosA)]`
`=(1+tanA)[(sin^2A+cos^2A)/(sinA)]`
`=(1+sinA/cosA)(1/sinA)`
`=(cosA+sinA)(cosAsinA)`
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