How to apply the sum of angles for the tangent of an angle

The video tutorial explains how to break down the angle 13π/12 into two smaller angles, -π/3 and -3π/4, and calculate their tangent values. It then demonstrates how to use these values in the tangent addition formula to find the tangent of the original angle. The process involves rationalizing the denominator and simplifying the expression to arrive at the final tangent value.

What is the tangent of the angle -π/3?

• sqrt 3

• 0

• -sqrt 3

• 1

Which formula is used to combine the tangents of two angles?

• tan(U + V) = (tan U + tan V) / (1 - tan U * tan V)

• tan(U - V) = (tan U + tan V) / (1 - tan U * tan V)

• tan(U - V) = (tan U - tan V) / (1 + tan U * tan V)

• tan(U + V) = (tan U - tan V) / (1 + tan U * tan V)

What is the purpose of rationalizing the denominator in the expression?

• To simplify the numerator

• To change the sign of the expression

• To make the expression a polynomial

• To eliminate the radical from the denominator

What does the FOIL method help achieve in this context?

• It is used to calculate the sine of an angle

• It helps in determining the coordinates of an angle

• It simplifies the expression by expanding binomials

• It helps in finding the tangent of an angle

What is the final simplified expression for the tangent value?

• 4 - 2 sqrt 3

• -2 + sqrt 3

• 2 + sqrt 3

• -4 + 2 sqrt 3