How to solve a trig equation with tangent on both sides

The video tutorial explains how to solve equations involving trigonometric functions, specifically focusing on tangent. It begins with an introduction to solving equations and emphasizes the importance of getting variables on the same side. The tutorial then demonstrates factoring and using the zero product property to solve equations. It further explores solving for tangent of X using the unit circle and applying restrictions to find final solutions within a specified range.

What is the first step in solving an equation involving tangent of X?

• Add a constant to both sides

• Divide both sides by tangent of X

• Get all tangent terms on the same side

• Multiply both sides by tangent of X

What property is used after factoring out tangent of X?

• Commutative Property

• Zero Product Property

• Distributive Property

• Associative Property

At which points on the unit circle is tangent equal to zero?

• (0, 0) and (1, 1)

• (1, 1) and (-1, -1)

• (0, 1) and (0, -1)

• (1, 0) and (-1, 0)

What is the restriction applied to the solutions of the tangent equation?

• Solutions must be positive

• Solutions must be negative

• Solutions must be integers

• Solutions must be between 0 and 2π

What is the result of rationalizing the expression for tangent of X?

• Plus or minus radical 3

• Plus or minus 1/3

• Plus or minus 1

• Plus or minus radical 3 / 3

Which angle corresponds to a tangent value of radical 3 / 3?

• π/3

• π/2

• π/4

• π/6

How many solutions are there for the tangent equation within the given restrictions?

• Two

• Three

• Five

• Four