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Chapter 13: More Trig

Chapter 13: More Trig. Lesson 1: Reciprocal Functions Mrs. Parziale. Reciprocal Trig Functions. Definitions : Let be any real number. Then: Secant of  =________________________, for Cosecant of  =________________________, for

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Chapter 13: More Trig

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  1. Chapter 13: More Trig Lesson 1: Reciprocal Functions Mrs. Parziale

  2. Reciprocal Trig Functions Definitions: Let be any real number. Then: • Secant of  =________________________, for • Cosecant of =________________________, for • Cotangent of  =________________________, for • Note that unless tangent or cosine are zero, • Therefore, we call these the reciprocal functions.

  3. Example 1: • Find the cosecant (csc), secant (sec), and cotangent (cot) of the angle measure of radians.

  4. Example 2: • Evaluate each of the following exactly, and then approximately with a calculator.

  5. Theorem: • Given a right triangle with angle , then:

  6. Example 3: • A ladder of length d is placed against a building. The ladder makes a 65 degree angle with the ground, and reaches a point on the wall 19 feet from the ground. Find the length of the ladder rounded to the nearest foot.

  7. Closure • What are the three new trig functions discussed in class today? • How are they related to sine, cosine, and tangent? • Use your knowledge of these new trig functions to find the missing side of the triangle.

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