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Unit 3

Unit 3 . Trigonometry Review Radian Measure Special Angles Unit Circle. Radian Measure. a. q radians = . r. q. Circumference of any circle = 2 p r. One complete revolution of a circle is 360 o. CAST RULE. ALL ratios +. Add. S in +. +. Sugar. +. +. +. – . +. – . – .

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Unit 3

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  1. Unit 3 Trigonometry Review Radian Measure Special Angles Unit Circle

  2. Radian Measure a qradians = r q Circumference of any circle = 2pr One complete revolution of a circle is 360o

  3. CAST RULE ALL ratios + Add Sin + + Sugar + + + – + – – + + Coffee Cos + Tan + To

  4. Trigonometric Ratios of Special Angles =3 2 2 1 2 1 – 1 – 1 2 2 1 Add Sugar To Coffee

  5. Trigonometric Ratios of Special Angles 2 1 2 2 2 – 1 1 2 2

  6. Trigonometric Ratios of Special Angles 1 1 –1 1

  7. Solving Trigonometric Equations with Special Angles 1 General Solutions General Solutions

  8. Solving Trigonometric Equations with Special Angles 2 2 1 1 General Solutions General Solutions

  9. Solving Trigonometric Equations with Special Angles 1 –1 General Solutions General Solutions

  10. Find q if 0o q 360o or 0 q 2p q = 135oq = 45o q = q = • = 210oq = 330o • q = q = q = 135oq = 225o q = q =

  11. q = 30oq = 330o q = q = q = 225oq = 45o q = q = q = 150oq = 330o q = q =

  12. Solve for x. Use your knowledge of special triangles Try NOT to rely on your calculators.

  13. 1 THE UNIT CIRCLE r = 1 (0, 1) y (1, 0) x q (– 1, 0) (0, – 1)

  14. Solve for x. Use your knowledge of special triangles and the unit circle on slide13. Try NOT to rely on your calculators.

  15. If we take each of our special diagrams and make the hypotenuse 1 we can use the UNIT CIRCLE for the special angles.

  16. 0 1 1 0

  17. THEUNIT CIRCLE

  18. Find q if 0o q< 360o or 0 q 2p q = 135oq = 45o q = q = q = 120oq = 240o q = q = • = 210oq= 330o • q = q = q = 30oq= 330o q = q = q = 150oq= 330o q = q = q = 225oq= 45o q = q =

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