How To Evaluate for the Double Angle of Tangent

The video tutorial explains how to evaluate the tangent of a problem using the double angle formula. It begins with an introduction to the problem and the formula, followed by a detailed explanation and verification of the formula. The tutorial then applies constraints to determine the correct triangle and proceeds with the calculation and simplification of the tangent problem, resulting in the final answer.

What is the double angle formula for tangent?

• 2 * tangent squared of U

• 2 * tangent of U divided by 1 minus tangent squared of U

• 1 minus 2 times tangent of U

• Tangent squared of U minus 1

How can the tangent value of 3/4 be represented using triangles?

• As a triangle with sides 4 and 5

• As a single triangle with sides 3 and 4

• As two separate triangles with sides 3 and 4 or -3 and -4

• As a triangle with sides 3 and 5

What constraint is applied to the tangent value in this problem?

• The angle must be between π/2 and π

• The angle must be between π and 2π

• The angle must be between 0 and π/2

• The angle must be between -π/2 and 0

What is the first step in simplifying the expression after substituting the tangent value?

• Divide everything by 4

• Multiply everything by 16

• Add 16 to both sides

• Multiply everything by 9

What is the final simplified result of the tangent double angle problem?

• 24 over 7

• 16 over 7

• 9 over 16

• 24 over 9