5 3 finding all of the solutions for solving for tangent using multiple angles

The video tutorial explains how to solve a trigonometric equation involving tangent and a period change. It begins by addressing common mistakes, such as incorrectly dividing terms. The instructor emphasizes the importance of understanding how the period affects the solution. The tutorial then provides a detailed step-by-step solution, using the unit circle to find angles where tangent equals specific values. It concludes by finding all possible solutions and simplifying them, ultimately solving for X.

What is the primary effect of the constant inside the trigonometric function?

• It has no effect.

• It shifts the graph vertically.

• It affects the period.

• It changes the amplitude.

Which angle does not satisfy the condition where tangent equals sqrt 3 / 3?

• π / 6

• π / 3

• 2π / 3

• 5π / 3

How can the solutions π / 3 and 4π / 3 be simplified?

• By subtracting π

• By adding 2π

• By dividing by 2

• By adding π

What is the final solution for X when solving the equation?

• X = π / 3 + πR

• X = 2π / 3 + πR

• X = 2π / 9 + π / 3 R

• X = π / 9 + π / 3 R

What is the relationship between the solutions 2π / 3 and 5π / 3?

• They are 2π apart.

• They are the same.

• They are unrelated.

• They are π apart.