Evaluate the half angle of tangent for 22 5 degrees

The video tutorial addresses common mistakes in Algebra 2, emphasizing the importance of careful practice. It guides students on selecting the appropriate tangent formula, explaining the preference for a single-term denominator. The tutorial clarifies Theta calculations, highlighting common errors such as incorrect substitution. It also demonstrates simplifying complex fractions, focusing on rationalizing denominators and applying the distributive property correctly.

What is a common mistake students make when working with algebraic formulas?

• Ignoring the order of operations

• Not practicing enough

• Using the wrong formula

• Plugging in values without understanding

When given Theta over 2 as 22.5 degrees, what is the correct value of Theta?

• 90 degrees

• 45 degrees

• 22.5 degrees

• 11.25 degrees

Why is it important to double Theta over 2 when calculating Theta?

• To simplify the equation

• To make the calculation faster

• To avoid using a calculator

• To ensure the correct angle is used

What is the key step to avoid errors when simplifying complex fractions?

• Guessing the answer

• Applying the distributive property correctly

• Using a calculator

• Ignoring the denominator

What should you do if you encounter a complex fraction with a radical in the denominator?

• Multiply by zero

• Add a constant

• Rationalize the denominator

• Leave it as it is