Evaluate for tangent using the half angle formula

Evaluate for tangent using the half angle formula

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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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.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you rationalize the denominator in the context of the problem discussed?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer obtained after simplifying the expression?

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