SOLUTION: Sin+cos=1,find sin-cos ?

Question 876835: Sin+cos=1,find sin-cos ?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Sine and cosine need an argument; the expressions sin = 1/2 or sin+cos = 1 make no sense.

Assuming you mean sin x + cos x = 1, sin x - cos x = ?, we have (sin x + cos x)^2 = 1 + 2 sin x cos x = 1 (using Pythagorean identity) so sin x cos x = 0.

Also (sin x - cos x)^2 = 1 - 2 sin x cos x = 1 - 2*0 = 1. So sin x - cos x could equal 1 or -1.
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