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Trigonometric Equations

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Presentation on theme: "Trigonometric Equations"— Presentation transcript:

1 Trigonometric Equations

2 Solve for all the possible values of theta in terms of n, where n is an element of the integers. In addition, find 6 example solutions in radians. Since we can’t write out all the possible solutions -1/2

3 Solve for all the possible values of theta in terms of n, where n is an element of the integers. In addition, find 6 example solutions in radians. y x 1/2 30° 30° -1/2

4 Solve for all the possible values of x in terms of n, where n is an element of the integers. In addition, find 6 example solutions in radians.

5 Solve for all the possible values of x in terms of n, where n is an element of the integers. In addition, find 6 example solutions in radians. 1/2

6 Solve for all the possible values of theta in terms of n, where n is an element of the integers. In addition, find 6 example solutions in radians.

7 Solve for all the possible values of x in terms of n, where n is an element of the integers. In addition, find 6 example solutions in radians.

8 P Find all the solutions in terms of n, where n is an element of the integers. In addition, list 4 example solutions

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11 N=2 n=3 n=0 n=1

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13 n=2 n=0 n=1

14 y x

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16 1/2

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19 P – 31 odd

20 6.8 Trig Equations II

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23 Cosθ or sinθ can never be greater than 1 or less than -1 , therefore we do not get any solutions from this equation

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25 Use an identity to solve each equation on the interval on the interval [0, 2π)

26 Use an identity to solve each equation on the interval on the interval [0, 2π)

27 Use an identity to solve each equation on the interval on the interval [0, 2π)

28 P , 39 , 43– 47 odd, 63, 69, 71

29 P , 30,,44,48, 64, 65,70, 72


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