Evaluate the sum of two angles using the tangent formula, tan

The video tutorial explains how to solve a problem involving the tangent of 105 degrees using the tangent sum formula. It covers evaluating the tangent of 60 and 45 degrees, applying the sum formula, and finalizing the solution by removing radicals from the denominator using the conjugate. The tutorial emphasizes understanding the unit circle and the importance of correctly applying mathematical formulas.

What is the purpose of using the tangent sum formula in this problem?

• To determine the cosine of 105 degrees

• To calculate the sine of 105 degrees

• To memorize the values of tangent for common angles

• To find the tangent of an angle not on the unit circle

Which of the following is the correct tangent value for 45 degrees?

• sqrt 2

• 0

• 1

• sqrt 3

How do you calculate the tangent of 60 degrees using the unit circle?

• By subtracting the x-coordinate from the y-coordinate

• By dividing the y-coordinate by the x-coordinate

• By adding the x and y coordinates

• By dividing the x-coordinate by the y-coordinate

What is the next step after plugging in the tangent values into the sum formula?

• Multiply the values by 2

• Simplify the expression and rationalize the denominator

• Subtract the values from each other

• Add the values directly

What is the final simplified result of the tangent of 105 degrees?

• 2 + sqrt 3

• -1 - sqrt 3

• -2 - sqrt 3

• 1 + sqrt 3