How to find the exact value using the difference formula of two angles for tangent

The video tutorial covers the tangent of 15 degrees, breaking it down into simpler components using tangent subtraction formulas. It emphasizes the importance of understanding coordinate points and tangent values, especially for tests. The tutorial also demonstrates techniques for simplifying fractions and radical expressions, including the use of conjugates. The instructor provides step-by-step guidance and encourages practice to master these concepts.

What is the tangent of 15 degrees rewritten as using angle subtraction?

• Tangent of 30 degrees minus tangent of 45 degrees

• Tangent of 45 degrees minus tangent of 30 degrees

• Tangent of 60 degrees minus tangent of 15 degrees

• Tangent of 15 degrees minus tangent of 45 degrees

What is the value of tangent for 45 degrees?

• 0

• Square root of 3 divided by 3

• 1

• Square root of 3

Which of the following is the tangent of 30 degrees?

• Square root of 3 divided by 3

• 0

• 1

• Square root of 3

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

• Divide by a common factor

• Subtract the fractions

• Multiply by a common factor

• Add the fractions

What is the purpose of multiplying by the conjugate in simplifying radical expressions?

• To divide radicals

• To multiply radicals

• To eliminate radicals in the denominator

• To add radicals

What is the result of multiplying a binomial by its conjugate?

• A perfect square trinomial

• A difference of two squares

• A binomial with the same sign

• A sum of two squares

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

• 2 + square root of 3

• 2 - square root of 3

• 1 - square root of 3

• 1 + square root of 3