Applying the sum of two angles tangent formula

The video tutorial explains how to apply the tangent formula to the sum of two angles, using the unit circle for evaluation. It covers the importance of understanding the quadrants and the sign of tangent values in different quadrants. The tutorial also addresses simplifying complex fractions and rationalizing the denominator in the final expression.

What is the first step in applying the tangent addition formula?

• Subtract the angles

• Multiply the angles

• Divide the angles

• Substitute the angles into the formula

In which quadrant is the angle 7π/4 located?

• Fourth quadrant

• Second quadrant

• First quadrant

• Third quadrant

What is the sign of the tangent function in the second quadrant?

• Undefined

• Negative

• Positive

• Zero

What is the common denominator used to simplify complex fractions in this lesson?

• 5

• 2

• 3

• 6

What is the method used to eliminate complex fractions?

• Dividing by the greatest common factor

• Multiplying by the least common denominator

• Subtracting fractions

• Adding fractions

What is the result of rationalizing the denominator in this lesson?

• -2 - sqrt(3)

• 2 + sqrt(3)

• -3 + sqrt(3)

• 3 - sqrt(3)

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

• 2 + sqrt(3)

• 3 - sqrt(3)

• -2 - sqrt(3)

• -3 + sqrt(3)