if cos A + sin A = root 2 cos A show that cos A - sin A = root 2 sin A .

Asked by Nikhil | 2nd Sep, 2012, 09:52: PM

Expert Answer:

cosA + sinA = root 2 cosA
sinA = (root 2 - 1) cosA
cosA = sinA / (root 2 - 1)
Rationalising the denominator, we get,
cosA = (root 2 + 1) sinA / 2 - 1
cosA - sinA = root 2 sinA

Answered by  | 2nd Sep, 2012, 11:07: PM

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