How to use the half angle formula for tangent tan75

The video tutorial explains the tangent half angle formula, focusing on calculating the tangent of 75 degrees using this formula. It involves determining the corresponding angle on the unit circle, simplifying the expression, and rationalizing the denominator to arrive at the final solution. The tutorial emphasizes understanding the unit circle and the process of simplifying mathematical expressions.

What is the initial step in using the half-angle formula for tangent?

• Divide the angle by two

• Multiply the angle by two

• Subtract 45 degrees from the angle

• Add 90 degrees to the angle

How do you determine the angle U when given the tangent of 75 degrees?

• Add 75 to 180

• Divide 75 by 2

• Multiply 75 by 2

• Subtract 75 from 180

What is the sine value of 150 degrees on the unit circle?

• -√3/2

• -1/2

• √3/2

• 1/2

What is the purpose of multiplying by the reciprocal in the simplification process?

• To rationalize the denominator

• To convert to a decimal

• To eliminate the numerator

• To add fractions

What is the final simplified form of the expression for tangent of 75 degrees?

• 1 + √3

• 1 - √3

• 2 + √3

• 2 - √3