Evaluating for the tangent of an angle using the sum formula, tan

The video tutorial explains how to evaluate the tangent of 13π/12 by breaking it down into known angles 3π/4 and π/3. The instructor uses the tangent addition formula to solve the problem, calculates the tangent values for the decomposed angles, and simplifies the expression through rationalization. The tutorial concludes with the final simplified answer.

What is the first step in evaluating the tangent of 13π/12?

• Use the sine addition formula

• Use the tangent subtraction formula

• Break it into two known angles

• Directly calculate using a calculator

Which angles are used to break down 13π/12?

• π/2 and π/4

• π/3 and π/6

• 3π/4 and π/3

• π/4 and π/6

How is the tangent of 3π/4 calculated?

• By dividing sine by cosine

• By subtracting sine from cosine

• By adding sine and cosine

• By multiplying sine and cosine

What is the tangent of π/3?

• 1/2

• √3

• √3/2

• 1

What is the result of applying the tangent addition formula to 3π/4 and π/3?

• 1 + √3

• 1 - √3

• -1 + √3

• -1 - √3

Why is it necessary to rationalize the denominator in the final expression?

• To simplify the numerator

• To eliminate the radical from the denominator

• To make the expression more complex

• To change the sign of the expression

What is the final simplified result of the tangent of 13π/12?

• 2 + √3

• -2 - √3

• 2 - √3

• -2 + √3