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sin theta+cos theta=x and sin theta-cos theta=y then prove that x**+y**=2
Dear studentI have taken theta as @.Nowsin@ + cos@ = xHence on squaringx² = sin² @ + cos² @ + 2 sin@ * cos@Nowy = sin@ - cos @Hence on squaringy² = sin²@ + cos²@ + 2sin@* cos@Now add x² and y²x² + y² = 2 (sin²@ + cos²@)x² +y² = 2Hence proved RegardsArun (askIITians forum expert)
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