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5.2 Solving Trig Ratios for Any Angle
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April 18, 2013
5.2 Trigonometric Ratios of Any Angle
Mental MathFind cosθ of the following triangle; leave as an exact value
6
4θ
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5.2 Solving Trig Ratios for Any Angle
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April 18, 2013
Finding the Trig Ratios of Any Angle Θ, where 0°≤Θ≤360°
Suppose θ is any angle in standard position...
.P(x, y)θ
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5.2 Solving Trig Ratios for Any Angle
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Finding the Trig Ratios of Any Angle Θ, where 0°≤Θ≤360°
.P(x, y)θ
sinθ =
cosθ =
tanθ =
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5.2 Solving Trig Ratios for Any Angle
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5.2 Solving Trig Ratios for Any Angle
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E.g. The point P(8, 15) lies on the terminal arm of an angle, θ, in standard position. Determine the exact trigonometric ratios for sinθ, cosθ, tanθ
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5.2 Solving Trig Ratios for Any Angle
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CAST Rule
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5.2 Solving Trig Ratios for Any Angle
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E.g. Determine the exact value of cos135°.
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E.g. Suppose θ is an angle in standard position with terminal arm in quadrant III, and cosθ = 3/4. What are the exact values of sinθ and tanθ?
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The quadrantal angle is an angle in standard position whose terminal arm lies on one of the axes.
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P(0, y)
r = y
Let's find the trig ratios if θ=90°
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180
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Homeworkp 96#16