Unformatted text preview: circle, its ycoordinate is sin θ . We thus get a correspondence between the ycoordinates of points on the unit circle and the values f ( θ ) = sin θ , as shown by the horizontal lines from the unit circle to the graph of f ( θ ) = sin θ in ±igure 5.1.2 for the angles θ = 0, π 6 , π 3 , π 2 . θ f ( θ ) 1 π 6 π 3 π 2 2 π 3 5 π 6 π f ( θ ) = sin θ π 6 π 3 π 2 1 1 x 2 + y 2 = 1 θ Figure 5.1.2 Graph of sine function based on ycoordinate of points on unit circle We can extend the above picture to include angles from 0 to 2 π radians, as in ±igure 5.1.3. This illustrates what is sometimes called the unit circle deFnition of the sine function . 103...
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 Fall '11
 Dr.Cheun
 Calculus, Trigonometry, Inverse Functions, Unit Circle, Inverse function, Sine Function

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