Hannahdidrah
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# What are the sine, cosine, and tangent of Θ = 3 pi over 4 radians? sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = -1 sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = 1 sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = 1 sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = -1

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AyeeAngel

$\frac{3 \pi }{4} * \frac{180degrees}{ \pi } = 135 degrees$. Drawing a reference triangle, this is 45 degrees in the second quadrant. See attached. Sine theta will be opposite/hypotenuse $= \frac{1}{ \sqrt{2} } * \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{2} }{2}$ Cosine will be adjacent/hypotenuse $\frac{-1}{ \sqrt{2} } * \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{- \sqrt{2} }{2}$ Tangent will be opposite/adjacent $\frac{1}{-1}=-1$

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