Learning to evaluate the sum of two angles in radians, tan

The video tutorial covers the process of solving trigonometric problems involving the subtraction of angles. It introduces the tangent subtraction formula and demonstrates how to apply it using specific angles. The tutorial explains how to find coterminal angles and calculate tangent values using the unit circle. It also covers simplifying expressions and rationalizing denominators, emphasizing the importance of accurate algebraic manipulation.

What is the formula used for the tangent of the difference of two angles?

• tan(U - V) = (tan U + tan V) / (1 - tan U tan V)

• tan(U - V) = (tan U - tan V) / (1 + tan U tan V)

• tan(U - V) = (tan U + tan V) / (1 + tan U tan V)

• tan(U - V) = (tan U - tan V) / (1 - tan U tan V)

How do you find a coterminal angle for 9π/4?

• Add π

• Subtract π

• Add 2π

• Subtract 2π

What is the tangent of π/4 on the unit circle?

• 0

• √3

• 1

• √2

What is the coordinate point for 5π/6 on the unit circle?

• (√3/2, 1/2)

• (1/2, √3/2)

• (-1/2, √3/2)

• (-√3/2, 1/2)

What is the result of rationalizing the denominator of -√3/3?

• -√3/3

• -1/3

• -1/√3

• -√3

What is the simplified form of the expression 12 + 2√3 divided by 6?

• 1 + 2√3

• 2 + √3

• 1 + √3

• 2 + 2√3

What is the result of multiplying the conjugate in the expression 3 + √3?

• 9 - 3

• 9 + 3

• 6 + 2√3

• 6 - 2√3