How to find the exact value by using the sum of two angles formula with tangent

The video tutorial explains how to solve a tangent problem involving 75 degrees by breaking it down into smaller parts. It covers the application of the tangent sum formula, discusses the importance of knowing tangent values for specific angles, and demonstrates the process of simplifying expressions and rationalizing denominators. The tutorial emphasizes recognizing patterns and using algebraic techniques to arrive at the final answer.

What formula should be used when adding angles to find the tangent?

• Difference formula

• Quotient formula

• Product formula

• Sum formula

What is the tangent of 45 degrees?

• 0

• sqrt 3 / 3

• 1

• sqrt 3

Why is it important to remember key tangent values like 30, 45, and 60 degrees?

• They are used in every math problem

• They are the only angles with tangents

• They are the largest angles

• They simplify calculations and are frequently used

What is the first step in simplifying an expression with fractions in both the numerator and denominator?

• Add the fractions

• Multiply by the conjugate

• Multiply by a common factor

• Subtract the fractions

What is the purpose of multiplying by the conjugate when simplifying expressions?

• To add fractions

• To eliminate radicals in the denominator

• To increase the value

• To change the sign

What is the final simplified form of the expression discussed in the video?

• 1 + sqrt 3

• 2 + sqrt 3

• sqrt 3

• 3 + sqrt 3

Why are tangent problems considered beneficial in learning?

• They are easy to solve

• They combine multiple mathematical concepts

• They only involve basic arithmetic

• They are rarely used