Solving trigonometric equations

The video tutorial explains how to solve trigonometric equations, specifically focusing on the equation 2 sine of x minus 1 equals zero. The instructor demonstrates isolating the trigonometric term using inverse operations and finding the values of x using the unit circle. The concept of coterminal angles is introduced to account for infinite solutions. The tutorial concludes with the final solutions, emphasizing the importance of including all possible values.

What is the first step in solving the equation 2 sine of x minus 1 equals zero?

• Isolate the variable x

• Use the addition property of equality

• Multiply both sides by 2

• Subtract 1 from both sides

In the unit circle, at which angles is sine of x equal to 1/2?

• x = pi/4 and x = 3pi/4

• x = pi/6 and x = 5pi/6

• x = pi/3 and x = 2pi/3

• x = pi/2 and x = 3pi/2

What is the significance of coterminal angles in solving trigonometric equations?

• They simplify the equation

• They help in finding the initial angle

• They allow for the inclusion of all possible solutions

• They provide a single solution

How do you represent additional revolutions in the general solution for x?

• By subtracting 2pi

• By adding pi

• By adding 2pi

• By subtracting pi

What variable is used to denote the number of revolutions in the general solution?

• s

• t

• r

• n