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find all solutions of the equation in the interval[0,2π)

0 votes

sin 2x - sin x = 0

asked Jan 22, 2015 in TRIGONOMETRY by anonymous

1 Answer

0 votes

Step 1:

The equation is image.

Using trigonometric double angle formula image.

image

image

Apply zero product property.

image and image.

image and image.

image and image.

The general solution of sine image.

The general solution of cosine image.

image and image, Where image is any integer.

Hence, image and image.

Required solutions are in the interval image.

The solutions of equation in the interval image are image.

Solution:

The solutions of equation in the interval image are image.

answered Jan 22, 2015 by Sammi Mentor
edited Jan 22, 2015 by Sammi

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