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Math 150

Learn how to solve trigonometric equations over intervals using helpful guidelines such as identifying form, factoring, quadratic formula, and using identities. Practice steps for various equations.

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Math 150

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  1. Math 150 6.2/6.3– Trigonometric Equations

  2. Ex 1.Solve over the interval . What are all the solutions of ?

  3. Ex 1.Solve over the interval . What are all the solutions of ?

  4. Ex 2.Solve over the interval .

  5. Ex 3.Find all solutions of .

  6. Ex 4.Solve over the interval .

  7. Solving Trig Equations - the book (p.265) has the following helpful guidelines 1. Decide whether the equation is linear or quadratic in form. 2. If there’s only one trig function, solve the equation for that function. 3. If there are more one trig function, rearrange the equation so that one side equals 0. Then try to factor and set each factor equal to 0 to solve. 4. If the equation is quadratic in form, but not factorable, use the quadratic formula. Check that solutions are in the desired interval. 5. Try using identities to change the form of the equation. It may be helpful to square each side of the equation first. In this case, check for extraneous solutions.

  8. Solving Trig Equations - the book (p.265) has the following helpful guidelines 1. Decide whether the equation is linear or quadratic in form. 2. If there’s only one trig function, solve the equation for that function. 3. If there are more one trig function, rearrange the equation so that one side equals 0. Then try to factor and set each factor equal to 0 to solve. 4. If the equation is quadratic in form, but not factorable, use the quadratic formula. Check that solutions are in the desired interval. 5. Try using identities to change the form of the equation. It may be helpful to square each side of the equation first. In this case, check for extraneous solutions.

  9. Solving Trig Equations - the book (p.265) has the following helpful guidelines 1. Decide whether the equation is linear or quadratic in form. 2. If there’s only one trig function, solve the equation for that function. 3. If there are more one trig function, rearrange the equation so that one side equals 0. Then try to factor and set each factor equal to 0 to solve. 4. If the equation is quadratic in form, but not factorable, use the quadratic formula. Check that solutions are in the desired interval. 5. Try using identities to change the form of the equation. It may be helpful to square each side of the equation first. In this case, check for extraneous solutions.

  10. Solving Trig Equations - the book (p.265) has the following helpful guidelines 1. Decide whether the equation is linear or quadratic in form. 2. If there’s only one trig function, solve the equation for that function. 3. If there are more one trig function, rearrange the equation so that one side equals 0. Then try to factor and set each factor equal to 0 to solve. 4. If the equation is quadratic in form, but not factorable, use the quadratic formula. Check that solutions are in the desired interval. 5. Try using identities to change the form of the equation. It may be helpful to square each side of the equation first. In this case, check for extraneous solutions.

  11. Solving Trig Equations - the book (p.265) has the following helpful guidelines 1. Decide whether the equation is linear or quadratic in form. 2. If there’s only one trig function, solve the equation for that function. 3. If there are more one trig function, rearrange the equation so that one side equals 0. Then try to factor and set each factor equal to 0 to solve. 4. If the equation is quadratic in form, but not factorable, use the quadratic formula. Check that solutions are in the desired interval. 5. Try using identities to change the form of the equation. It may be helpful to square each side of the equation first. In this case, check for extraneous solutions.

  12. Ex 5.Find all solutions of . Then list the solutions in the interval .

  13. Ex 6.Solve over the interval . Then find all solutions.

  14. Ex 7.Solve over the interval .

  15. Ex 8.Solve over the interval .

  16. For the following trig equations, let’s get practice just taking the first steps…

  17. For the following trig equations, let’s get practice just taking the first steps…

  18. For the following trig equations, let’s get practice just taking the first steps…

  19. For the following trig equations, let’s get practice just taking the first steps…

  20. For the following trig equations, let’s get practice just taking the first steps…

  21. For the following trig equations, let’s get practice just taking the first steps…

  22. For the following trig equations, let’s get practice just taking the first steps…

  23. For the following trig equations, let’s get practice just taking the first steps…

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