What are the sum and difference formulas for tangent

The video tutorial explains how to find the tangent of an angle, specifically 75 degrees, using sum and difference formulas. It highlights the challenges of using the tangent function compared to sine and cosine, and provides a step-by-step approach to applying these formulas for accurate evaluation.

Why is finding the tangent of 75 degrees using a calculator not ideal?

• It is easier than using sine or cosine.

• It is not possible to calculate.

• It provides an approximation.

• It gives an exact value.

What is the sum of angles used to evaluate the tangent of 75 degrees?

• 30 degrees and 60 degrees

• 45 degrees and 30 degrees

• 60 degrees and 15 degrees

• 90 degrees and 45 degrees

What is the formula for the tangent of the sum of two angles U and 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)

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

What is the sign of the numerator in the sum formula for tangent?

• Zero

• Positive

• Undefined

• Negative

In the difference formula for tangent, what is the sign in the denominator?

• Positive

• Negative

• Zero

• Undefined