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Trigonometric Functions on Any Angle

Trigonometric Functions on Any Angle. Section 4.4. Objectives. Determine the quadrant in which the terminal side of an angle occurs. Find the reference angle of a given angle.

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Trigonometric Functions on Any Angle

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  1. Trigonometric Functions on Any Angle Section 4.4

  2. Objectives • Determine the quadrant in which the terminal side of an angle occurs. • Find the reference angle of a given angle. • Determine the sine, cosine, tangent, cotangent, secant, and cosecant values of an angle given one of the sine, cosine, tangent, cotangent, secant, or cosecant value of the angle.

  3. Vocabulary • quadrant • reference angle • sine of an angle • cosine of an angle • terminal side of an angle • initial side of an angle • tangent of an angle • cotangent of an angle • secant of an angle • cosecant of an angle

  4. Reference Angle

  5. In which quadrant is the angle? What is the reference angle, , for the angle ?

  6. Evaluate each of the following for .

  7. For , find the values of the trigonometric functions based on .

  8. Evaluate the followingexpressions if and

  9. Evaluate the followingexpressions if and

  10. If and θ is in quadrant IV, then find the following.

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