How to solve a trigonometric equation

The video tutorial explains how to solve equations by isolating the cosine of X. It demonstrates the process of undoing operations like addition, subtraction, and multiplication to isolate cosine. The unit circle is used to identify angles where cosine equals specific values. The concept of coterminal angles is introduced, showing how they relate to the solution of the equation. The tutorial emphasizes understanding these mathematical concepts through practice and memorization.

What is the first step in isolating cosine of X in an equation?

• Multiply both sides by 2

• Add 1 to both sides

• Subtract 1 from both sides

• Divide both sides by 2

After isolating cosine of X, what value do we find it equals to in this problem?

• -1

• 0

• -1/2

• 1/2

Which angles on the unit circle correspond to cosine of X being -1/2?

• π/4 and 7π/4

• π/6 and 11π/6

• 2π/3 and 4π/3

• π/3 and 5π/3

What is a coterminal angle?

• An angle that is a multiple of π

• An angle that is exactly 180 degrees

• An angle that is less than 90 degrees

• An angle that shares the same terminal side

How do you find all possible solutions for cosine of X = -1/2?

• Subtract multiples of π

• Subtract multiples of 2π/3

• Add multiples of π/2

• Add multiples of 2π