Evaluating for the Tangent of a Double Angle Using the Formula

The video tutorial explains how to evaluate the tangent of two U using a given formula. It starts by introducing the formula and the problem, then uses a triangle to represent the tangent values. The tutorial demonstrates how to substitute the given values into the formula and simplify the expression to find the result. The final answer shows that when the tangent of U is 3/4, the tangent of two U is 24/7.

What is the formula for the tangent of 2U?

• tangent(U) / (1 - tangent^2(U))

• 2 * tangent(U) / (1 + tangent^2(U))

• tangent(U) / (1 + tangent^2(U))

• 2 * tangent(U) / (1 - tangent^2(U))

Why is it important to create a triangle when given a tangent value?

• To calculate the hypotenuse

• To determine the angle in radians

• To ensure the tangent ratio is represented correctly

• To find the sine and cosine values

What is the given value of tangent U in the problem?

• 4/3

• 3/4

• 1/2

• 2/3

What is the first step in simplifying the expression for tangent of 2U?

• Calculating the sine value

• Substituting the known tangent value

• Finding the hypotenuse

• Using the unit circle

How do you eliminate fractions in the final simplification step?

• By adding the fractions

• By multiplying by the reciprocal

• By dividing by the denominator

• By subtracting the fractions

What does the final result of 24/7 represent in the context of the problem?

• The sine of the angle

• The cosine of the angle

• The original tangent of the angle

• The double tangent of the angle

What is the purpose of multiplying by the reciprocal in the simplification process?

• To calculate the sine value

• To convert the angle to degrees

• To find the hypotenuse

• To remove the fraction from the denominator