Half angle of tangent given an angle

The video tutorial explains how to use tangent half angle identities, focusing on solving for alpha and choosing the appropriate formula. It covers the process of plugging values into the formula, considering quadrant implications, and handling complex fractions through rationalization. The tutorial emphasizes understanding the steps and feeling comfortable with the mathematical operations involved.

What is the tangent of three π / 8 using the half angle identities?

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Explain the two formulas for tangent of the half angle and which one you would recommend using.

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How do you find alpha if alpha over 2 is equal to three π / 8?

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What is the significance of the angle being in the second quadrant for tangent and cosine?

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Describe the process of rationalizing the denominator in the expression 2 + sqrt 2 divided by sqrt 2.

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