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this problem gave me a hard time need help

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Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list. Round your answers to three decimal places where appropriate.)

sin 2θ + sin θ = 0

θ =

 

asked Apr 9, 2016 in PRECALCULUS by anonymous

1 Answer

0 votes

The trigonometric equation is image.

Double-angle formula: image.

image

Separate the factors.

image and image.

Simplify and rewrite the equations.

image and image.

General solution for image: image

General solution for image: image

The solution of the trigonometric equation is

image

answered Apr 9, 2016 by Anney Mentor
reshown Apr 9, 2016 by goushi

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