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Trigonometric Functions: Unit Circle

Trigonometric Functions: Unit Circle. Unit Circle. The unit circle is a circle whose radius is 1 and whose center is at the origin of a rectangular coordinate system. Let t be a real number and let P = ( x,y ) be the point on the unit circle that corresponds to t. Trig Functions.

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Trigonometric Functions: Unit Circle

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  1. Trigonometric Functions: Unit Circle

  2. Unit Circle The unit circle is a circle whose radius is 1 and whose center is at the origin of a rectangular coordinate system

  3. Let t be a real number and let P = (x,y) be the point on the unit circle that corresponds to t

  4. Trig Functions There are six trigonometric functions

  5. Finding exact values

  6. Exact values Quadrantal Angles

  7. Special Trigonometric Functions

  8. Exact Values of Special Trigonometric Equations

  9. Reference Angles Let α (Greek alpha) be an acute angle in standard position. For example α= 20° Notice that the terminal ray of α= 20° 180°- α= 160° are symmetric In the y axis. The angle α is called a reference angle.

  10. General Info for Reference angles In general, the acute angle α is the reference angle for the angles, 180°- α, 180°+α, 360°-α Example: Express sin 695° in terms of a reference angle.

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