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Trigonometric Functions of Multiples of 30° and 45° & Evaluating Trigonometric Functions with a Calculator

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**Trigonometric Functions of Multiples of 30° & 45°**

60° 90° Sin 1 Cos Tan undefined 30° 45° 1 x 1 2 60° 45° 1 45° – 45° – 90° template 30° – 60° – 90° template

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**Trigonometric Functions of Multiples of 30° & 45°**

Example 1: Find the exact values of three primary trigonometric functions of 120°. Solution: Begin by drawing an angle of 120° in standard position. The terminal side of the 120 angle forms an acute 60 angle with the negative x axis. Now we can use the 30 – 60 – 90 template. Based on the lengths of the sides of the 30 – 60 – 90 template, we obtain the coordinates of a point P that lies on the terminal side of the 120 angle. x = -1 because P is in the 2nd quadrant. y 2 30° 120° 60° 1 x

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**Trigonometric Functions of Multiples of 30° & 45°**

y 30° 2 120° 60° 1 x

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Homework Do # 1 – 7 odd numbers only on page 243 from section 7.6 and do # 1 – 15 odd numbers only and # 17 – 21 odd numbers only on page 246 from Section 7.7 for Wednesday June 10th

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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.4 Trigonometric Functions of General Angles.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall. Section 7.4 Trigonometric Functions of General Angles.

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