Learn how to evaluate the sum of two angles with tangent

The video tutorial covers sum and difference identities, focusing on tangent. It explains how to evaluate tangent using the unit circle and highlights common mistakes. The instructor demonstrates simplifying expressions with radicals and fractions, emphasizing the importance of careful calculation. The session concludes with a Q&A segment addressing student queries.

What is a common mistake when working with tangent in sum and difference identities?

• Using the same sign for both angles

• Forgetting to use the unit circle

• Replacing angles with incorrect values

• Not having the formulas in front

When calculating the tangent of 5π/6, what is the correct sign of the result?

• Positive

• Negative

• Zero

• Undefined

Why is it recommended to use parentheses when calculating tangent expressions?

• To make the expression look neat

• To avoid mistakes with signs

• To simplify the calculation

• To ensure correct angle substitution

What is the purpose of multiplying the top and bottom of a fraction by three in the simplification process?

• To simplify the expression

• To eliminate the radical

• To change the sign of the expression

• To remove the denominator

What is the result of rationalizing the denominator in the given expression?

• A negative number

• A complex number

• A simpler fraction

• An irrational number

How do you handle the radical when simplifying the expression?

• Multiply it by itself

• Ignore it

• Place it at the beginning

• Place it at the end

What is the final simplified form of the expression after dividing by six?

• 0 - sqrt(3)

• 2 - sqrt(3)

• 3 - sqrt(3)

• 1 - sqrt(3)