Solving a multiple angel trigonometric equation between 0,2pi

The video tutorial focuses on solving a tangent equation involving a triple angle. The instructor explains the importance of isolating the tangent function and using the unit circle to find solutions. The process involves identifying solutions for the equation within the range of 0 to 2π, emphasizing the need to evaluate tangent before dividing by the angle multiplier. The tutorial concludes with a list of valid solutions within the specified range.

What is the first step in solving the equation involving a triple angle for tangent?

• Multiply both sides by 3

• Add π to both sides

• Subtract 1 from both sides

• Divide by the square root of 3

When using the unit circle, what are the angles where tangent equals zero?

• 0 and π

• π/2 and 3π/2

• π/6 and 5π/6

• π/4 and 3π/4

How do you express all possible solutions for the equation in terms of R?

• 3X = π * R

• X = π * R

• X = 2π * R

• 3X = 2π * R

What is the next step after finding all solutions for 3X?

• Divide by 3

• Subtract π

• Add π

• Multiply by 3

Which of the following is a solution within the interval 0 to 2π?

• 3π

• 4π

• 7π/3

• 5π/3

Why is 2π not included in the final set of solutions?

• It is outside the interval 0 to 2π

• It is not a solution for 3X

• It is a duplicate of 0

• It is not a valid angle

What is the final set of solutions for the equation between 0 and 2π?

• 0, π/2, π, 3π/2, 2π

• 0, π/3, 2π/3, π, 4π/3, 5π/3

• π/6, π/3, π/2, 2π/3, π

• π/4, π/2, 3π/4, π, 5π/4