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QUESTION
Q
If cos Θ + sin Θ = √2 cos Θ, then cos Θ − sin Θ is

Solution

cos Θ + sin Θ = √2 cos Θ squaring on both sides we get (cos Θ + sin Θ)2 = (√2 cos Θ)2 cos2 Θ + sin2 Θ + 2 cosΘ sin Θ = 2 cos2 Θ ⇒ sin2 Θ + 2 cosΘ sin Θ = cos2...

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Solution

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cos2 Θ + sin2 Θ = 1 a2 − b2 = (a + b)(a − b)

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