Sum formula for tangent of an angle trigonometry

The video tutorial explains how to apply the tangent addition formula to solve problems involving angles. It covers the use of the unit circle to find tangent values, rationalizing the denominator using conjugates, and demonstrates the box method for multiplying binomials. The tutorial provides a step-by-step approach to understanding and applying these mathematical concepts.

What is the formula for the tangent of the sum of two angles?

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

• tan(U + V) = tan(U) * tan(V)

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

• tan(U + V) = tan(U) + tan(V)

What is the tangent of 60 degrees based on its unit circle coordinates?

• 1

• sqrt(3)

• 1/2

• sqrt(2)/2

What is the tangent of 225 degrees?

• -1

• -sqrt(2)/2

• 1

• sqrt(2)/2

After calculating the tangent values, what is the next step in solving the problem?

• Divide the tangent values

• Plug the values into the tangent sum formula

• Multiply the tangent values

• Add the tangent values

What is the purpose of multiplying by the conjugate in this problem?

• To add the angles together

• To find the tangent of a new angle

• To eliminate the radical from the denominator

• To simplify the numerator

Which method is suggested for organizing multiplication of binomials?

• FOIL method

• Box method

• Cross multiplication

• Long division

What is the result of multiplying sqrt(3) by itself?

• 2

• sqrt(3)

• 3

• 1