Exploring Trigonometric Ratios: Sine, Cosine, and Tangent

This video tutorial covers the basics of trigonometric functions, focusing on their application in right triangles. It explains how to identify the hypotenuse, opposite, and adjacent sides of a triangle. The video introduces the sine, cosine, and tangent functions, detailing how each is calculated using the sides of a triangle. A mnemonic, SOHCAHTOA, is provided to help remember these functions. The tutorial sets the stage for solving triangles using these functions in future lessons.

What does the hypotenuse of a right triangle represent?

• The longest side of the triangle

• The side opposite the right angle

• The side adjacent to the right angle

• The shortest side of the triangle

Which side is always opposite the right angle in a right triangle?

• Opposite

• Adjacent

• None of the above

• Hypotenuse

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

• Adjacent over Hypotenuse

• Opposite over Adjacent

• Opposite over Hypotenuse

• Hypotenuse over Opposite

For angle A, if the opposite side is 4 and the hypotenuse is 5, what is the sine of angle A?

• 1/5

• 4/5

• 5/4

• 3/5

How is the cosine of an angle in a right triangle calculated?

• Adjacent over Opposite

• Hypotenuse over Opposite

• Opposite over Hypotenuse

• Adjacent over Hypotenuse

If the adjacent side to angle A is 3 and the hypotenuse is 5, what is the cosine of angle A?

• 3/5

• 2/5

• 5/3

• 4/5

Which function is defined as adjacent over hypotenuse?

• Cotangent

• Sine

• Cosine

• Tangent

What does the tangent of an angle in a right triangle represent?

• Hypotenuse over Opposite

• Opposite over Hypotenuse

• Opposite over Adjacent

• Adjacent over Hypotenuse

What mnemonic helps remember the trigonometric functions?

• ROYGBIV

• None of the above

• PEMDAS

• SOHCAHTOA

What is the tangent of angle A if the opposite side is 4 and the adjacent side is 3?

• 4/3

• 1/12

• 3/4

• 7