Solve a trigonometric equation using tangent

The video tutorial explains how to solve equations involving tangent functions to find values of X. It begins with setting up the equation and using the unit circle to find specific angles where tangent equals 1 or 0. The instructor then demonstrates how to simplify the solutions by using π and integer multiples. Finally, the tutorial covers solving for 3X and finding corresponding solutions.

What is the first step in solving the equation tan(3X) = 0?

• Set tan(X) equal to 0

• Set tan(3X) equal to 0

• Set tan(3X) equal to 1

• Set tan(X) equal to 1

At which angle does tan(X) equal 1 on the unit circle?

• 3π/4

• π/4

• π/2

• π

How can the solutions for tan(X) = 1 be expressed in a simplified form?

• X = π/4 + 3πN

• X = π/2 + πN

• X = π/4 + πN

• X = π/4 + 2πN

What are the points on the unit circle where tan(3X) = 0?

• π/3 and 2π/3

• π/4 and 5π/4

• π/2 and 3π/2

• 0 and π

How is the solution for tan(3X) = 0 expressed in terms of π and N?

• X = πN/2

• X = πN

• X = πN/3

• X = 2πN/3