1. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall

2. Chapter 14 Trigonometric Functions

3. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall 14.2 Right Triangle Trigonometry

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5. Trigonometry values for a given angle are always the same no matter how large the triangle is

6. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Example Find the value of each of the six trigonometric functions of  in the figure shown. Solution Use the Pythagorean Theorem to find c.

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9. Example Given find the value of each of the four remaining trigonometric functions. Solution Determine tangent by using the quotient identity. continued

10. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Given find the value of each of the four remaining trigonometric functions.

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12. Example Given that is an acute angle, find the value of cos  using a trigonometric identity. Solution Use the Pythagorean identity.

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14. Example Find a cofunction with the same value as the given expression: sin 62 . Solution Find the complement of the angle.

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16. Example Sighting the top of the building, a surveyor measured the angle of elevation to be 22 . The transit is 5 feet above the ground and 300 feet from the building. Find the building’s height. Solution continued

17. Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Sighting the top of the building, a surveyor measured the angle of elevation to be 22 . The transit is 5 feet above the ground and 300 feet from the building. Find the building’s height. The height of the part of the building above the transit is approximately 121 feet. Thus, the height of the building is determined by adding the transit’s height. 121 + 5 feet = 126 feet