How to evaluate the difference of two angles for tangent

The video tutorial explains how to apply the tangent function to the difference of two angles. It emphasizes the importance of maintaining the correct order in subtraction, especially when using formulas. The tutorial also covers the use of the unit circle to calculate tangent values and demonstrates how to simplify complex tangent expressions using conjugates.

What is the key consideration when applying the tangent formula for the difference of two angles?

• The angles must be complementary.

• The angles must be in the same quadrant.

• The order of angles is crucial, especially in subtraction.

• The order of angles does not matter.

In which quadrant is the angle 7π/6 located, and what is the sign of its tangent?

• 3rd Quadrant, positive

• 1st Quadrant, positive

• 4th Quadrant, negative

• 2nd Quadrant, negative

What is the reference angle for 3π/4, and what is the sign of its tangent?

• π/6, positive

• π/4, negative

• π/4, positive

• π/6, negative

What algebraic technique is used to simplify the tangent expression in the final section?

• Factoring

• Completing the square

• Using the quadratic formula

• Multiplying by the conjugate

What is the final simplified form of the tangent expression discussed in the last section?

• 1 + √3

• 3 + 2√3

• 2 + 3√3

• 2