How to solve a trigonometric equation when it is already solved cos

The video tutorial explains how to solve for angle U in trigonometric equations by isolating the variable and using the unit circle. It covers identifying solutions for cosine values and discusses the concept of constraints and infinite solutions. The tutorial emphasizes the importance of understanding when to apply constraints and how to find all possible solutions by considering coterminal angles.

What is the first step in solving a trigonometric equation similar to solving an algebraic equation?

• Graphing the function

• Isolating the variable

• Simplifying the equation

• Finding the derivative

Which angle on the unit circle corresponds to a cosine value of 1/2?

• π/3

• 2π/3

• π/6

• π/4

What is the second angle on the unit circle where the cosine value is 1/2?

• π/2

• 3π/2

• 4π/3

• 5π/3

What happens to the solutions of a trigonometric equation if there are no constraints?

• They remain the same

• They become infinite

• They are limited to one period

• They are undefined

How do you find additional solutions for a trigonometric equation without constraints?

• By dividing by 2π

• By multiplying by 2π

• By adding 2π

• By subtracting 2π

What is the general form for finding all solutions of a trigonometric equation without constraints?

• θ + 2πn

• θ + nπ

• θ - 2πn

• θ * 2πn

If a constraint is given, what range is typically used for finding solutions on the unit circle?

• 0 to 2π

• 0 to 4π

• 0 to π

• π to 2π