Solving a trigonometric equation and determining all the solutions between 0 and 2pi

The video tutorial introduces solving trigonometric equations, focusing on solving for X using inverse tangent and understanding its restrictions. It explains finding angles between 0 and 2π, using reflections and the unit circle, and calculating solutions for the equation. The tutorial emphasizes understanding the constraints and correctly identifying angles that satisfy the equation.

What is the first step in solving the trigonometric equation for X?

• Add 3 to both sides

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 3 from both sides

Why is the inverse tangent method limited in solving for X?

• It only works for angles between 0 and π

• It requires angles to be between -π/2 and π/2

• It can only solve for positive angles

• It does not work for angles in radians

Which angle in radians corresponds to a tangent value of sqrt 3?

• π/4

• π/2

• π/3

• π/6

What is the constraint for the angles in the homework problems?

• Angles must be between 0 and π

• Angles must be between -2π and 2π

• Angles must be between -π and π

• Angles must be between 0 and 2π

How many solutions are there for the equation between 0 and 2π?

• 5

• 4

• 3

• 2

Which of the following is a correct angle solution for the equation?

• π/2

• 3π/4

• 5π/6

• 2π/3

What is the reference angle used in the solution process?

• π/3

• π/6

• π/2

• π/4