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 in solving the equation 2 sine squared of X equals sine of X?

• Divide both sides by sine of X

• Multiply both sides by sine of X

• Subtract sine of X from both sides

• Add sine of X to both sides

What mathematical technique is used to solve the equation after isolating the variable X?

• Completing the square

• Using the quadratic formula

• Factoring and applying the zero product property

• Graphing the equation

When factoring the equation, what common factor is taken out?

• sine of X

• X

• 2

• cosine of X

At which points on the unit circle is sine of X equal to zero?

• π/2 and 3π/2

• 0 and π

• π/4 and 3π/4

• π/6 and 5π/6

What are the angles where sine of X equals 1/2 on the unit circle?

• π/4 and 3π/4

• π/6 and 5π/6

• π/2 and 3π/2

• π/3 and 2π/3