College Algebra & Trigonometry, 2018a

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9.2. GRAPHING TRIGONOMETRIC FUNCTIONS 395 9.2 Graphing Trigonometric Functions We have seen how to determine the values of trigonometric functions for angles terminating in Quadrants II, III, and IV. This allows us to make a graph of the values of the sine function for any angle. In the chart below, I have listed the values for the sine function for angles between 0 ◦ and 360 ◦ . θ sin θ θ sin θ 0 ◦ =0 100 ◦ ≈ 0.9848 10 ◦ ≈ 0.1737 110 ◦ ≈ 0.9397 20 ◦ ≈ 0.3420 120 ◦ ≈ 0.8660 30 ◦ =0.5 130 ◦ ≈ 0.7660 40 ◦ ≈ 0.6428 140 ◦ ≈ 0.6428 50 ◦ ≈ 0.7660 150 ◦ =0.5 60 ◦ ≈ 0.8660 160 ◦ ≈ 0.3420 70 ◦ ≈ 0.9397 170 ◦ ≈ 0.1737 80 ◦ ≈ 0.9848 180 ◦ =0 90 ◦ =1 θ sin θ θ sin θ 180 ◦ =0 280 ◦ ≈−0.9848 190 ◦ ≈−0.1737 290 ◦ ≈−0.9397 200 ◦ ≈−0.3420 300 ◦ ≈−0.8660 210 ◦ = −0.5 310 ◦ ≈−0.7660 220 ◦ ≈−0.6428 320 ◦ ≈−0.6428 230 ◦ ≈−0.7660 330 ◦ = −0.5 240 ◦ ≈−0.8660 340 ◦ ≈−0.3420 250 ◦ ≈−0.9397 350 ◦ ≈−0.1737 260 ◦ ≈−0.9848 360 ◦ =0 270 ◦ = −1 On the next page we see a graph of these points plotted on the coordinate axes.
396 CHAPTER 9. GRAPHING THE TRIGONOMETRIC FUNCTIONS 1 1 2 0 30 60 90 120 150 180 210 240 270 300 330 360 − 1 2 −1 In graphing trigonometric functions, we typically use radian measure along the x-axis, so the graph would generally look like this: 1 maximum 1 2 zero 0 π 2 zero π 3π 2 zero 2π − 1 2 −1 minimum The graph of the standard sine function begins at the zero point, then rises to
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College Algebra & Trigonometry
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c○2018 Richard W. Beveridge This
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4 CONTENTS 2.4 Solution of Rational
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6 CONTENTS 8.2 The Trigonometric Ra
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88 CHAPTER 2. POLYNOMIAL AND RATION
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College Algebra & Trigonometry, 2018a

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