How to use the sum and difference formula for tangent

The video tutorial explains how to use sum and difference formulas for trigonometric functions, specifically focusing on the tangent function. It demonstrates breaking down complex expressions into simpler angles, applying the sum formula, and using the unit circle for simplification. The tutorial also covers techniques for simplifying fractions and using conjugates to eliminate radicals. The session concludes with a final simplification and error correction, ensuring a clear understanding of the process.

What is the sum formula for tangent when using angles U and V?

• tangent(U) - tangent(V) / 1 + tangent(U) * tangent(V)

• tangent(U) + tangent(V) / 1 + tangent(U) * tangent(V)

• tangent(U) - tangent(V) / 1 - tangent(U) * tangent(V)

• tangent(U) + tangent(V) / 1 - tangent(U) * tangent(V)

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

• sqrt(3)/3

• 1

• sqrt(3)

• 0

How do you eliminate fractions within fractions in an expression?

• Add the fractions

• Multiply by the denominator

• Multiply by the conjugate

• Subtract the fractions

What is the purpose of multiplying by the conjugate in an expression?

• To change the sign

• To remove square roots

• To simplify addition

• To add fractions

What method is used to multiply binomials in the simplification process?

• Distributive Property

• FOIL Method

• Conjugate Method

• Cross Multiplication

What is the final simplified expression obtained in the lesson?

• 6 + sqrt(3) / 3

• 1 + sqrt(3)

• 2 + sqrt(3)

• 3 + sqrt(3) / 2

What error did the teacher correct during the simplification process?

• Incorrect division of terms

• Incorrect subtraction of terms

• Incorrect multiplication of terms

• Incorrect addition of terms