perfimeter and area, Mathematics

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Prove that sinx+cosx=? , Multiply and divide by root2, then root2/root2...

Multiply and divide by root2, then root2/root2(sinx+cosx) = root2(sinx/root2 + cosx/root2) = root2(sinx cos45+cosx sin45) = root2(sin(x+45))

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