Evaluating the exact value using sum formula for tangent, tan

The video tutorial covers the tangent formula for the sum of angles, specifically breaking down the tangent of 60 and 45 degrees. It explains how to evaluate these angles using the unit circle and simplify expressions by multiplying with conjugates. The tutorial emphasizes the importance of understanding these steps for quick evaluation and concludes with a final calculation using the distributive property.

What is the formula for the tangent of the sum of two angles?

• Tangent of U times tangent of V all over 1 plus tangent of U plus tangent of V

• Tangent of U plus tangent of V all over 1 minus tangent of U times tangent of V

• Tangent of U minus tangent of V all over 1 minus tangent of U times tangent of V

• Tangent of U plus tangent of V all over 1 plus tangent of U times tangent of V

What is the tangent of 60 degrees?

• 1

• sqrt 3

• 1/2

• sqrt 2

What is the tangent of 45 degrees?

• sqrt 3

• 0

• 1

• sqrt 2

Why is it important to multiply by the conjugate when simplifying expressions with radicals?

• To eliminate the radical in the numerator

• To eliminate the radical in the denominator

• To make the expression more complex

• To change the sign of the expression

What does multiplying two binomials produce?

• A single term

• A perfect square trinomial

• A linear equation

• A quadratic equation

What is the result of applying the distributive property to a binomial divided by a number?

• Each term is multiplied by the number

• Each term is divided by the number

• The number is subtracted from each term

• The number is added to each term

What is the final simplified result of the expression discussed in the tutorial?

• 0

• 1

• -1

• -2