Simplifying a trigonometric expression using tangent

The video tutorial begins with an introduction to numbers and variables, emphasizing the importance of understanding formulas. It explains the angle sum formula for tangent and applies it using π and Theta. The tutorial evaluates the tangent of π and concludes with the result that the tangent of Theta equals zero.

Why is it important to know your formulas when dealing with numbers and variables?

• To make calculations faster

• To solve and simplify problems

• To memorize mathematical constants

• To avoid using calculators

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)

• tan(U + V) = tan(U) - tan(V)

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

In the formula for tan(U + V), what values are substituted for U and V in the video?

• U = π, V = π/2

• U = π/2, V = π

• U = Theta, V = π

• U = π, V = Theta

What is the value of tan(π) as discussed in the video?

• 0

• 1

• Undefined

• -1

What conclusion is reached about the tangent of Theta in the final section?

• Tangent of Theta equals 1

• Tangent of Theta is undefined

• Tangent of Theta equals π

• Tangent of Theta equals 0