4 The Trigonometric Functions

LEARNING OUTCOMES

After completion of this chapter, the student should be able to:

  • Define positive and negative angles

  • Express an angle in degrees or radians and convert between the two measurements

  • Determine a standard position angle

  • Define, evaluate, and use the six trigonometric functions

  • Use the Pythagorean theorem and trigonometric functions to solve a right triangle

  • Employ the inverse trigonometric functions to solve for a missing angle

  • Solve application problems involving right triangles

Triangles are often used in solving applied problems in technology. A short list of such problems includes those in air navigation, surveying, rocket motion, carpentry, structural design, electric circuits, and astronomy. ...

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