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If tantheta=(sinalpha-cosalpha)/(sinalph...

If `tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha)` then show that ` sinalpha+cosalpha=sqrt(2)costheta`.

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Given,
`tantheta=(sinalpha−cosalpha)/(sinalpha+cosalpha) `
Dividing by `cosalpha` we have
`⇒tantheta=((tanalpha−1))/((tanalpha+1))`
Multiplying both side by `cosalpha` we have
...
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