How to use reference angles to help evaluate for an angle

The video tutorial covers the process of sketching angles, identifying reference angles, and using special right triangles to evaluate trigonometric functions like sine, cosine, and tangent. The instructor explains how to break down angles into parts, find reference angles, and use these to simplify trigonometric calculations without a calculator. The tutorial emphasizes understanding the relationships within special right triangles and applying these to solve problems efficiently.

What is the angle Theta when broken into thirds?

• -3π/3

• -4π/3

• -5π/3

• -2π/3

What is the reference angle for -4π/3?

• π/6

• π/3

• π/4

• π/2

Why are reference angles always positive?

• They are measured in radians.

• They represent the smallest angle to the X-axis.

• They are measured from the Y-axis.

• They are always in the first quadrant.

What is the sine of -4π/3 using the reference angle?

• 1/2

• -1/2

• sqrt 3 / 2

• -sqrt 3 / 2

In which quadrant is the tangent of -4π/3 negative?

• Third quadrant

• Fourth quadrant

• Second quadrant

• First quadrant