Trigonometric Ratios in Right Triangles

The video tutorial introduces the basic concepts of trigonometry, focusing on identifying the sides of a right-angled triangle: hypotenuse, adjacent, and opposite. It explains how these sides change based on the angle of reference. The tutorial then introduces trigonometric ratios: sine, cosine, and tangent, and provides a mnemonic device, SOHCAHTOA, to help remember these ratios.

What is the longest side of a right-angled triangle called?

• Opposite

• Hypotenuse

• Adjacent

• Base

In relation to angle Theta, which side is called the adjacent side?

• The hypotenuse

• The side next to Theta

• The base

• The side opposite Theta

How do the adjacent and opposite sides change when the angle of reference changes?

• Only the hypotenuse changes

• They both become the hypotenuse

• They remain the same

• They switch places

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

• Adjacent side over hypotenuse

• Opposite side over adjacent side

• Opposite side over hypotenuse

• Hypotenuse over opposite side

What is the cosine of an angle in a right-angled triangle?

• Hypotenuse over opposite side

• Opposite side over adjacent side

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

What is the tangent of an angle in a right-angled triangle?

• Hypotenuse over opposite side

• Opposite side over adjacent side

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

Which trigonometric ratio is equal to sine divided by cosine?

• Cotangent

• Tangent

• Cosine

• Sine

What mnemonic device is used to remember the trigonometric ratios?

• SOHCAHTOA

• Cosine Rule

• Pythagorean Theorem

• Sine Rule

In the mnemonic SOHCAHTOA, what does 'SOH' stand for?

• Sine equals adjacent over hypotenuse

• Sine equals hypotenuse over opposite

• Sine equals opposite over hypotenuse

• Sine equals hypotenuse over adjacent

In the mnemonic SOHCAHTOA, what does 'CAH' stand for?

• Cosine equals hypotenuse over opposite

• Cosine equals hypotenuse over adjacent

• Cosine equals adjacent over hypotenuse

• Cosine equals opposite over hypotenuse