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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

Verified Answer :

\(\frac{3 \pi }{4} * \frac{180degrees}{ \pi } = 135 degrees\).

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
\(\frac{1}{-1}=-1\)

View image nobrains

ALL I KNOW IS THAT IT'S NOT......    

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