Evaluating for the tangent of an angle using the difference formula, tan

The video tutorial covers the process of solving tangent problems in trigonometry. It begins with an introduction to tangent and its challenges, followed by a detailed walkthrough of the calculation steps. The instructor demonstrates how to simplify the tangent expression and concludes with homework instructions, including adjustments to the assignment.

What are the coordinates for 30 degrees in trigonometric terms?

• sqrt 3 / 2, 1/2

• -sqrt 2 / 2, sqrt 2 / 2

• 1/2, sqrt 3 / 2

• 1, 0

Which formula is used to calculate the tangent of the difference between two angles?

• tan(A - B) = (tan A - tan B) / (1 + tan A tan B)

• tan(A + B) = (tan A + tan B) / (1 - tan A tan B)

• tan(A + B) = (tan A - tan B) / (1 + tan A tan B)

• tan(A - B) = (tan A + tan B) / (1 - tan A tan B)

What is the tangent of 225 degrees?

• -1

• 1

• 0

• sqrt 3

How do you rationalize the denominator of a fraction?

• Divide the numerator by the denominator

• Subtract the numerator from the denominator

• Add the numerator and denominator

• Multiply by the conjugate of the denominator

What is the simplified form of 12 - 6 sqrt 3 divided by 6?

• 6 + 2 sqrt 3

• 2 + sqrt 3

• 6 - 2 sqrt 3

• 2 - sqrt 3

Which problems are excluded from the homework assignment?

• Problems 1, 2, 3, and 4

• Problems 12, 14, 16, and 18

• Problems 9, 11, 17, and 19

• Problems 5, 6, 7, and 8

How many times must each problem be solved according to the homework instructions?

• Once

• Twice

• Three times

• Four times