cos theta - sin theta =√2 sin theta then prove that cos theta + sin theta =√2 cos theta
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Step-by-step explanation:
cos theta -sin theta =√2 sin theta
cos theta =√2sin theta +sin theta
cos theta =sin theta (√2+1)
sin theta =cos theta /(√2+1)
sin theta = cos theta (√2 -1)/2-1 [Rationalize]
sin theta = √2cos theta - cos theta
therefore, sin theta +cos theta = √2cos theta
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