![]() These and other fundamental identities are listed below. In Lesson 13.1 you used reciprocal identities to find the values of the cosecant, secant, and cotangent functions. ![]() Such equations are called trigonometric identities. cos x = 1.5 In the activity you may have discovered that some trigonometric equations are true for all values of x (in their domain). What do you notice about the graphs? Is the equation true for (a) no x-values, (b) some x-values, or (c) all x-values? (Set your calculator in radian mode and use ✢π ≤ x ≤ 2π and ✢ ≤ y ≤2.) 1. ACTIVITY Developing Concepts Investigating Trigonometric Identities Use a graphing calculator to graph each side of the equation in the same viewing window. REAL REAL LIFE LIFE Verifying Trigonometric Identities GOAL 1 USING TRIGONOMETRIC IDENTITIES In this lesson you will use trigonometric identities to evaluate trigonometric functions, simplify trigonometric expressions, and verify other identities. Why you should learn it To simplify real-life trigonometric expressions, such as the parametric equations that describe a carousel’s motion in Ex. GOAL 2 Use trigonometric identities to solve real-life problems, such as comparing the speeds at which people pedal exercise machines in Example 7. pdf 3-1 Trig Identities Solutions P3 1.pdf 3-1 Trig Identities Worksheet.pdf. 14.3 What you should learn GOAL 1 Use trigonometric identities to simplify trigonometric expressions and to verify other identities.
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