Solving a trigonometric equation with sine on both sides

The video tutorial explains how to solve a trigonometric equation by isolating the sine variable and identifying solutions within the interval of 0 to 2π. It involves analyzing the unit circle to find when the sine of an angle equals -√2/2, leading to the determination of two specific angles as solutions.

What is the first step taken to solve the trigonometric equation in the video?

• Multiply both sides by 2

• Add sine of X to both sides

• Subtract sine of X from both sides

• Divide both sides by 2

Within which interval are the solutions for the trigonometric equation found?

• π/2 to 3π/2

• π to 2π

• 0 to π

• 0 to 2π

What value does the sine of the angle equal to in the problem?

• √2/2

• -√2/2

• -1/2

• 1/2

How many angles within the interval satisfy the equation?

• One

• Four

• Three

• Two

What are the solutions to the trigonometric equation within the interval 0 to 2π?

• π/4 and 3π/4

• π/2 and 3π/2

• π and 2π

• 5π/4 and 7π/4