How to solve this problem, if sin x - cos x = p, what is the value of sin 2x in p
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How to solve this problem, if sin x - cos x = p, what is the value of sin 2x in p

[From: ] [author: ] [Date: 11-09-25] [Hit: ]
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I am clueless of this problem except sin 2x = 2sinx.cosx, but how to continue?

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Since sin x - cos x = p, squaring both sides yields
(sin x - cos x)^2 = p^2
==> sin^2(x) + cos^2(x) - 2 sin x cos x = p^2
==> 1 - sin(2x) = p^2
==> sin(2x) = 1 - p^2.

I hope this helps!
1
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