Trigonometric Equations

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Presentation transcript:

Trigonometric Equations

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

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

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.

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

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.

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.

P 674 15-24 Find all the solutions in terms of n, where n is an element of the integers. In addition, list 4 example solutions

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

n=2 n=0 n=1

y x

1/2

P674 25 – 31 odd

6.8 Trig Equations II

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

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

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

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

P 674 26, 39 , 43– 47 odd, 63, 69, 71

P 674 28, 30,,44,48, 64, 65,70, 72