How to evaluate for the half angle of tangent

The video tutorial covers solving an equation for U, evaluating tangent using the unit circle, calculating cosine and sine values, simplifying fractions, and rationalizing denominators. The instructor guides through each step, ensuring understanding of mathematical operations and concepts involved.

What is the value of U when solving the equation U/2 = 3/5 or 8?

• U = 7/10 or 16

• U = 3/5 or 8

• U = 5/3 or 8

• U = 35 or 4

Which coordinates are used to evaluate the tangent at the point (3, 5, 4) on the unit circle?

• (0, 1)

• (1/2, sqrt 3 / 2)

• (-sqrt 2 / 2, sqrt 2 / 2)

• (1, 0)

What is the cosine of U at the point identified on the unit circle?

• 1

• 0

• sqrt 2 / 2

• -sqrt 2

What mathematical operation is used to simplify the expression by removing fractions from the denominator?

• Adding fractions

• Subtracting fractions

• Multiplying by the reciprocal

• Dividing by the numerator

What is the final expression obtained after rationalizing the denominator and simplifying?

• 2 sqrt 2 / 2 + 1

• sqrt 2 + 1

• 1 / sqrt 2

• 2 + sqrt 2