Question

If sinx + cosx = a then |sinx - cosx| = ?

Answer 1

Answer:

sinx + cosx = a squaring both sides sin²x + cos²x +2sinxcosx = a² 2sinxcosx = a² - 1 (sinx - cosx )² = sin²x + cos²x - 2sinxcosx = 1 - (a² - 1) ...

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