Sin(x)+Sin(y)+Sin(z)=3Find:Cos(x)+Cos(y)+Cos(z) – InterviewSolution

1.

Sin(x)+Sin(y)+Sin(z)=3Find:Cos(x)+Cos(y)+Cos(z)

Answer»

The only way to have if sin x + sin y + sin z = 3

is if sin x = sin y = sin z = 1

Since cos²θ = 1 - sin²θ, then cos x = cos y = cos z = 0

So cos x + cos y + cos z = 0

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