Trigonometric Ratios and Functions

This video tutorial explains how to identify and use trigonometric ratios in right-angle triangles. It covers labeling triangle sides as hypotenuse, opposite, and adjacent, and introduces the three main trigonometric ratios: sine, cosine, and tangent. Mnemonic devices like SOHCAHTOA are discussed to help remember these ratios. The video also demonstrates how to apply these ratios to solve for unknown sides or angles in triangles through various example problems.

What is the primary focus of this video?

• Understanding calculus concepts

• Solving quadratic equations

• Learning about geometric shapes

• Identifying trigonometric ratios in right angle triangles

Which side of a right angle triangle is opposite the right angle?

• Base

• Opposite

• Hypotenuse

• Adjacent

What is the sine of an angle in a right angle triangle?

• Adjacent over hypotenuse

• Hypotenuse over opposite

• Opposite over adjacent

• Opposite over hypotenuse

What mnemonic is commonly used to remember trigonometric ratios?

• BODMAS

• FOIL

• PEMDAS

• SOHCAHTOA

If you know the opposite and adjacent sides of a triangle, which trigonometric ratio would you use?

• Secant

• Tangent

• Cosine

• Sine

In the example problem, which side is labeled as the unknown?

• Adjacent

• Base

• Opposite

• Hypotenuse

Which trigonometric ratio is used when you have the opposite and hypotenuse?

• Sine

• Cotangent

• Cosine

• Tangent

In the final example, which sides are known?

• Adjacent and base

• Hypotenuse and adjacent

• Hypotenuse and opposite

• Opposite and adjacent