How do you evaluate for tangent function on unit circle

The video tutorial explores the calculation of tangent values for special angles on the unit circle, specifically 30, 45, and 60 degrees. It begins with an introduction to the unit circle and the significance of cosine and tangent. The instructor then demonstrates the step-by-step process of calculating the tangent for 30 degrees, including rationalizing the denominator. The tutorial continues with a simplification of the tangent calculation for 45 degrees, highlighting that any number divided by itself equals one. Finally, a shortcut method for calculating the tangent of 60 degrees is presented, emphasizing efficiency in solving these problems.

What does the cosine of a point on the unit circle represent?

• The X coordinate of the point

• The Y coordinate of the point

• The distance from the origin

• The angle of the point

How do you find the tangent of 30 degrees using the unit circle?

• By multiplying the Y coordinate by the X coordinate

• By dividing the Y coordinate by the X coordinate

• By dividing the X coordinate by the Y coordinate

• By adding the X and Y coordinates

What is the result of dividing a number by itself?

• Zero

• One

• The number itself

• Infinity

What is the tangent of 45 degrees?

• Sqrt 3

• 1

• Sqrt 2

• 1/2

What is the shortcut for finding the tangent of 60 degrees?

• Divide the Y coordinate by 2

• Use the square root of 3

• Divide the X coordinate by the Y coordinate

• Multiply the X coordinate by 2