Learn how to find all the solutions between o and 2pi

The video tutorial explains solving an equation involving tangent squared of theta. It emphasizes the importance of including both positive and negative roots when introducing square roots. The tutorial guides through finding reference angles, specifically π/6 and π/3, and calculating all possible angles with these reference angles. The session concludes with forming a solution set and addressing student questions.

What is the first step in solving for Theta in the given problem?

• Multiply by 6

• Divide by 6

• Add 6

• Subtract 6

Why is it important to consider both positive and negative roots when solving for Theta?

• To avoid complex numbers

• To make calculations easier

• To ensure all solutions are found

• To simplify the equation

What reference angle is used to find the angle that gives a tangent of ±√3?

• π/3

• π/2

• π/6

• π/4

Which angle is verified to have a tangent of √3?

• π/6

• π/3

• π/4

• π/2

What is the angle when you are π/3 short of 2π?

• 2π/3

• 4π/3

• π/3

• 5π/3