Solving Trigonometric Equations (Section 5-3)

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Presentation transcript:

Solving Trigonometric Equations (Section 5-3)

Verify that each x-value is a solution of the equation. Example 1 2 sin x + 1 = 0

Verify that each x-value is a solution of the equation. Example 2 4 sin2 2x - 2 = 0

Find all the solutions of the equation in the interval [0°, 360°). Example 3

Find all the solutions of the equation in the interval [0°, 360°). Example 4

Find all the solutions of the equation in the interval [0,2π). Example 5

Find all the solutions of the equation in the interval [0,2π). Example 6

Solve the equation. Example 7

Solve the equation. Example 8

Find all the solutions of the equation in the interval [0, 2π). Example 9

Find all the solutions of the equation in the interval [0, 2π). Example 10

Find all the solutions of the equation in the interval [0, 2π). Example 11

Find all the solutions of the equation in the interval [0, 2π). Example 12

HW #37 pg 376 (1-24all)

Solve the equation. Example 13

Solve the equation. Example 14

Solve the equation. Example 15

Solve the equation. Example 16

Solve the equation. Example 17

Solve the equation. Example 18

Solve the equation. Example 19

Solve the equation. Example 20

Use a graphing utility to approximate the solutions of the equation in the interval (0, 2π]. Example 21

Use a graphing utility to approximate the solutions of the equation in the interval (0, 2π]. Example 22

Solve the multiple-angle equation. Use [0, 2 ) Example 23

Solve the multiple-angle equation. Use [0, ) Example 24

Solve the multiple-angle equation. Use [0, 2 ) Example 25

Solve the multiple-angle equation. Use [0, 2 ) Example 26

HW #37 pg 376 (49-55odd, 77-83odd) HW #38 pg 377 (57-59 all, 61-75 odd, 85, 87)