# Answer on Trigonometry Question for BLAKE

Question #4964

find the exact value of cos and sin of angle (3, -6)

Expert's answer

Please give us details so we could help you.Should we understand that it's angle created by the line which goes through origin and contains point (3,-6)? Like on the picture below? if so

then cos = 3/sqrt(9+36)=3/(3*sqrt(5))=1/sqrt(5)

sin=-6/sqrt(9+36)=-6/(3*sqrt(5))=-2/sqrt(5)

<img style="width: 210px; height: 204px;" src="data:image/png;base64,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" alt="">

then cos = 3/sqrt(9+36)=3/(3*sqrt(5))=1/sqrt(5)

sin=-6/sqrt(9+36)=-6/(3*sqrt(5))=-2/sqrt(5)

<img style="width: 210px; height: 204px;" src="data:image/png;base64,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" alt="">

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