Evaluate for sine, cosine and tangent of an angle using the unit circle

The video tutorial explains how to determine angles and points on a unit circle, focusing on negative angles and their representation in terms of pi. It covers the breakdown of pi into quarters and the calculation of trigonometric functions such as sine, cosine, and tangent. The tutorial emphasizes understanding the relationship between the unit circle and these functions, providing detailed calculations and explanations.

What is the direction of rotation for a negative angle?

• Upward

• Downward

• Clockwise

• Counterclockwise

How many degrees is equivalent to π/4 radians?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

What is the value of the sine of an angle at the point (sqrt(2)/2, sqrt(2)/2) on the unit circle?

• 0

• 1

• sqrt(2)/2

• sqrt(3)/2

Which coordinate represents the cosine of an angle on the unit circle?

• Y-coordinate

• X-coordinate

• Z-coordinate

• W-coordinate

What is the tangent of an angle if both the x and y coordinates are sqrt(2)/2?

• 1

• sqrt(2)

• 2

• 0