How to solve a trigonometric equation with tangent

The video tutorial explains how to solve a trigonometric problem involving the tangent function. It begins with setting up the problem and then demonstrates solving it using algebraic techniques. The instructor uses the unit circle to identify angles that satisfy the equation and discusses reflections to find all possible solutions. The tutorial emphasizes understanding the relationship between angles and their coordinates on the unit circle.

What is the initial problem the teacher presents to the class?

• Calculating the cosine of an angle

• Solving for tangent values

• Finding the sine of an angle

• Determining the secant of an angle

What method does the teacher suggest to simplify solving the equation?

• Using a calculator

• Graphing the function

• Substituting variables

• Memorizing the unit circle

What is the result of rationalizing the denominator in the equation?

• Tangent of U equals sqrt 3

• Tangent of U equals 1

• Tangent of U equals 1/sqrt 3

• Tangent of U equals sqrt 3/3

Which quadrant of the unit circle does the teacher focus on initially?

• Second quadrant

• First quadrant

• Third quadrant

• Fourth quadrant

What is the angle where tangent equals sqrt 3/3 in the first quadrant?

• π/6

• π/3

• π/2

• π/4

How does the teacher suggest finding all solutions for the tangent equation?

• Using a calculator

• Memorizing all angles

• Reflecting over the axes

• Using only the first quadrant

What are the constraints on the solutions for the tangent equation?

• Solutions must be between π and 2π

• Solutions must be between 0 and 2π

• Solutions must be between 0 and π

• Solutions must be between -π and π