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TRIGONOMETRIC EQUATIONS

TRIGONOMETRIC EQUATIONS. Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

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TRIGONOMETRIC EQUATIONS

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  1. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  2. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  3. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  4. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Substituted y = 1

  5. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  6. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - simplified

  7. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  8. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  9. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. ** since trigonometry is a cyclical function, we must define our answer further.

  10. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  11. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  12. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  13. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. ** we will only have to do this when the interval is not already defined

  14. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  15. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  16. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Substituted y = 1

  17. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Divided both sides by 2

  18. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - simplified

  19. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  20. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. ** no interval was given

  21. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  22. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  23. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - factored

  24. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Set each factor = 0 and solve

  25. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Set each factor = 0 and solve

  26. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Take inverse cos of each side…

  27. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Take inverse cos of each side…

  28. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  29. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Where does cos x = 1 ???

  30. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Where does cos x = 1 ???

  31. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  32. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  33. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Added 3 to both sides

  34. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - divided both sides by 4

  35. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - simplified

  36. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Square root of both sides

  37. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - simplified

  38. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc. - Inverse of both sides

  39. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  40. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

  41. TRIGONOMETRIC EQUATIONS Solving a Trigonometric Equation : 1. Try to reduce the equation to one involving a single function 2. Solve the equation using the same methods as you would an algebraic expression. You might have to factor, square sides, take square roots of both sides, etc.

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