Question

answer this plzzz

$\cos( \alpha) - sin( \alpha ) = \sqrt{2} \sin( \alpha )$
prove that:
$\cos( \alpha ) + \sin( \alpha ) = \sqrt{2} \csc( \alpha )$
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Answer 1

(cosx)^2+(sinx)^2=1

(cosx+sinx)(cosx-sinx)=1

sqrt2sinx.(cosx-sinx)=1

cosx-sinx=sqrt2cscx