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

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Presentation on theme: "Trigonometric Functions of Multiples of 30° and 45° & Evaluating Trigonometric Functions with a Calculator."— Presentation transcript:

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

2 Trigonometric Functions of Multiples of 30° & 45° 0°0° 30 ° 45 ° 60 ° 90 ° Sin01 Cos10 Tan01undefined x 45° 30° 1 60° ° 45° – 45° – 90° template30° – 60° – 90° template

3 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. 120° x y 30° 60° 1 2 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 2 nd quadrant.

4 Trigonometric Functions of Multiples of 30° & 45° 120° x y 30° 60° 1 2

5 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 10 th


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