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Math 150 6.2/6.3– Trigonometric Equations 1

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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. 7

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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

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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

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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

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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

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