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