Mathematics
Hannahdidrah
26

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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(1) Answers
AyeeAngel

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

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