Find the missing length using special right triangles

The video tutorial explains how to analyze a triangle using the tangent function, focusing on a 30-60-90 triangle. It discusses the relationship between the opposite and adjacent sides and how to solve for a missing side using trigonometric ratios. The tutorial also covers alternative methods for solving the problem without memorizing special triangles.

What trigonometric function is used when you have the opposite and adjacent sides of a triangle?

• Secant

• Tangent

• Cosine

• Sine

In a 30-60-90 triangle, what is the ratio of the length of the long leg to the short leg?

• √3:1

• 1:2

• 1:√3

• 1:1

How do you simplify the expression 15 divided by radical 3?

• 15√3

• 15/√3

• 5/√3

• 5√3

What is the tangent of a 30-degree angle in terms of the sides of a triangle?

• 1/2

• √3/2

• 2/√3

• 1/√3

Why is it not necessary to memorize special right triangles according to the video?

• They are not used in real life.

• They are too complex to remember.

• They are not part of the curriculum.

• You can always derive the necessary information.