Trigonometric Ratios and Triangle Solutions

This video tutorial explains how to use the primary trigonometric ratios—sine, cosine, and tangent—to find missing side lengths in right-angle triangles. It covers labeling triangles, using the SOHCAHTOA acronym, and provides examples for each ratio. The tutorial concludes with solving a triangle by finding all missing angles and sides.

What are the primary trigonometric ratios used for right-angle triangles?

• Sine, Secant, Cosecant

• Sine, Cosine, Tangent

• Tangent, Cotangent, Secant

• Cosine, Cotangent, Secant

Which side of a right-angle triangle is always the longest?

• Opposite

• Adjacent

• Base

• Hypotenuse

What is the sine ratio in a right-angle triangle?

• Adjacent over Hypotenuse

• Opposite over Adjacent

• Hypotenuse over Opposite

• Opposite over Hypotenuse

How do you label the side opposite to angle A in a triangle?

• Lowercase a

• Uppercase A

• Lowercase b

• Uppercase B

In the example using the sine ratio, what is the value of side B?

• 6.4

• 8.0

• 5.1

• 7.2

Which trigonometric ratio involves adjacent and hypotenuse?

• Cotangent

• Cosine

• Tangent

• Sine

In the example using the cosine ratio, what is the value of X?

• 20.1

• 23.1

• 21.3

• 18.5

Which trigonometric ratio is used when you have opposite and adjacent sides?

• Sine

• Cosine

• Tangent

• Secant

In the example using the tangent ratio, what is the value of X?

• 0.27

• 0.67

• 1.18

• 1.02

What does solving a triangle mean?

• Finding all side lengths

• Finding all angles

• Finding the hypotenuse

• Finding all missing information