Evaluate the sum of two angles using tangent

The video tutorial explains how to use the tangent identity to solve a trigonometric expression. It begins by identifying angles and their signs, then calculates the tangent of specific angles. The process involves rationalizing the denominator and simplifying the expression to reach the final answer. The tutorial provides a step-by-step approach to understanding and applying these mathematical concepts.

What is the tangent identity used for the sum of angles U and 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)

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

In which quadrant is the angle 2π/3 located, and what is the sign of its tangent?

• Fourth quadrant, negative

• Third quadrant, positive

• Second quadrant, negative

• First quadrant, positive

What is the tangent of π/4?

• √3

• 1

• 0

• -1

What is the result of rationalizing the expression 1 - √3 over 1 + √3?

• 1 - 2√3 + 3

• 1 + 2√3 - 3

• 1 - √3

• 1 + √3

What is the final simplified result of the expression after factoring and dividing out common terms?

• -2 - √3

• -1 + √3

• 2 + √3

• 1 - √3