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Trigonometric Functions on ANY circle (not just the unit circle)

Trigonometric Functions on ANY circle (not just the unit circle). Review…. Now, when the radius is not 1…. Example. Find the values of the 6 trig functions for angle Ө in standard position if (-6, 7) lies on its terminal side.

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Trigonometric Functions on ANY circle (not just the unit circle)

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  1. Trigonometric Functions on ANY circle (not just the unit circle)

  2. Review….

  3. Now, when the radius is not 1…

  4. Example • Find the values of the 6 trig functions for angle Өin standard position if (-6, 7) lies on its terminal side. • Draw and label the triangle on the unit circle(don’t forget signs) • Use pythagorean theorem to find unknown side • sin Ө = _____ csc Ө = _____ • cos Ө = _____ sec Ө = _____ • tan Ө =_____ cot Ө = _____

  5. Example • Given that sec Ө = -13/5, and Ө is an angle in standard position whose terminal side lies in quadrant 3, find the values of the 6 trig functions. • Draw and label the triangle on the unit circle(don’t forget signs) • Use pythagorean theorem to find unknown side • sin Ө = _____ csc Ө = _____ • cos Ө = _____ sec Ө = _____ • tan Ө =_____ cot Ө = _____

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