Exploring Trigonometric Ratios: Sine, Cosine, and Tangent

What does a trigonometric ratio compare?

• The length of a triangle's base to its height

• Two sides of a right triangle

• Two angles of a right triangle

• The area of a triangle to its perimeter

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

• Hypotenuse over opposite

• Opposite over hypotenuse

• Opposite over adjacent

• Adjacent over hypotenuse

What is the mnemonic to remember trigonometric ratios?

• PEMDAS

• A-Squared plus B-Squared equals C-Squared

• SOH-CAH-TOA

• SAS-SSS-ASA

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

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

For a right triangle with sides 5, 12, and 13, what is the cosine of angle A?

• 5/13

• 12/5

• 12/13

• 5/12

In the same triangle, what is the tangent of angle B?

• 5/12

• 13/5

• 12/13

• 12/5

How do you find the length of a side opposite to a 21° angle in a right triangle?

• Multiply the length of the adjacent side by the tangent of 21°

• Divide the length of the adjacent side by the sine of 21°

• Divide the length of the hypotenuse by the cosine of 21°

• Multiply the length of the hypotenuse by the sine of 21°

How do you calculate the length of the hypotenuse if you know the length of one side and an angle?

• Divide the length of the side by the sine of the angle

• Multiply the length of the side by the tangent of the angle

• Divide the length of the side by the cosine of the angle

• Multiply the length of the side by the sine of the angle

What is the cosine of 30° in a special right triangle?

• √3/2

• 1/2

• √2/2

• 1/√3

What is the sine of 45° in a special right triangle?

• √2/2

• 1/√2

• √3/2

• 1/2