Solve a trigonometric function with sine on both sides

The video tutorial explains how to solve the trigonometric equation 2 sine squared of X equals sine of X. It begins by isolating the variable X and using factoring and the zero product property to simplify the equation. The tutorial then demonstrates how to solve for X using the unit circle, identifying when sine of X equals zero and one-half. Finally, it discusses finding all solutions by considering coterminal angles, providing a comprehensive understanding of solving such trigonometric equations.

What is the first step to isolate the variable X in the equation 2 sine squared of X equals sine of X?

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Explain how the zero product property is applied in solving the equation after factoring.

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When is sine of X equal to zero, and what are the general solutions for this equation?

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Identify the angles where sine of X equals 1/2 and describe how to find these angles using the unit circle.

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What are the general solutions for the equation derived from sine of X equals 1/2?

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