Evaluate for tangent using the half angle formula

The video tutorial explains how to evaluate the exact value using the half angle formula, specifically for 22.5 degrees. It begins by calculating Theta as 45 degrees and then applies the half angle formula for tangent. The tutorial emphasizes using the formula with sine in the denominator and proceeds to simplify the expression by removing fractions and rationalizing the denominator. The final simplified answer is derived as sqrt 2 - 1.

What is the value of Theta if Theta over 2 equals 22.5 degrees?

• 11.25 degrees

• 90 degrees

• 45 degrees

• 22.5 degrees

Which formula is recommended for evaluating tangent using the half angle formula?

• Sine in the denominator

• Cosine in the numerator

• 1 + cosine in the denominator

• 1 - cosine in the numerator

What is the first step in simplifying the expression for tangent using the half angle formula?

• Subtract one

• Divide by square root of two

• Multiply by two

• Add fractions

Why is it necessary to rationalize the denominator in the simplification process?

• To multiply by two

• To add fractions

• To eliminate the square root

• To simplify the numerator

What is the final simplified answer for the tangent using the half angle formula?

• 1 - sqrt 2

• sqrt 2 - 1

• sqrt 2 + 1

• 1 + sqrt 2