Solving a simple trigonometric equation by isolating cosine

The video tutorial covers solving trigonometric equations by applying inverse operations. It begins with an introduction to the concept, followed by a detailed explanation of using inverse operations to isolate trigonometric functions. The unit circle is introduced as a tool for understanding the relationship between angles and their cosine values. The tutorial concludes with identifying angles on the unit circle that have specific cosine values, emphasizing the importance of knowing the unit circle and its coordinates.

What is the first step in solving a trigonometric equation like 2X - 1 = 0?

• Apply inverse operations

• Add cosine to both sides

• Multiply both sides by 2

• Subtract cosine from both sides

When isolating the trigonometric function, what property is used to add 1 to both sides?

• Multiplication property of equality

• Addition property of equality

• Division property of equality

• Subtraction property of equality

In Chapter 4, what did we learn about the cosine of an angle?

• It is equal to the Y coordinate on the unit circle

• It is equal to the X coordinate on the unit circle

• It is equal to the angle itself

• It is equal to the sine of the angle

What is the X coordinate on the unit circle for an angle with cosine value of 1/2?

• -1/2

• sqrt 3 / 2

• 1/2

• -sqrt 3 / 2

Which angles on the unit circle have a cosine value of 1/2?

• π/2 and 3π/2

• π/6 and 5π/6

• π/3 and 5π/3

• π/4 and 3π/4