Evaluate using Sum and Difference formulas

The video tutorial explains how to evaluate and simplify a trigonometric expression involving the tangent of 30 and 45 degrees. It covers the process of simplifying fractions, rationalizing the denominator using conjugates, and performing final simplifications to achieve the desired result.

What is the tangent of 30 degrees?

• 0

• 1

• sqrt(3)/3

• sqrt(3)

What is the common denominator used to eliminate fractions in the expression?

• 3

• 2

• 5

• 6

What is the purpose of multiplying by the conjugate in the process of rationalizing the denominator?

• To add fractions

• To simplify the numerator

• To remove the radical from the denominator

• To change the sign of the expression

What is the result of multiplying 3 by sqrt(3)?

• 9

• 3

• 3 sqrt(3)

• sqrt(3)

What is the final simplified form of the expression?

• 1 + sqrt(3)

• 2 - sqrt(3)

• 2 + sqrt(3)

• 1 - sqrt(3)