Trigonometric Ratios and Functions

The video tutorial covers trigonometric ratios, including sine, cosine, and tangent, and their applications in solving right triangles. It introduces mnemonic devices to remember these functions and provides examples using triangles ABC and S and E. The tutorial also explains the use of special right triangles and demonstrates how to use calculators for trigonometric calculations. Finally, it shows how to solve for missing sides in triangles using trigonometric functions.

What is the primary focus of trigonometric ratios?

• The perimeter of a triangle

• The area of a triangle

• Angles in a triangle

• Ratios between two sides of a right triangle

In a right triangle, what is the sine ratio defined as?

• Hypotenuse over opposite

• Adjacent over hypotenuse

• Opposite over adjacent

• Opposite over hypotenuse

What is the cosine ratio in a right triangle?

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Hypotenuse over adjacent

• Adjacent over opposite

How is the tangent ratio defined in a right triangle?

• Opposite over hypotenuse

• Hypotenuse over adjacent

• Adjacent over hypotenuse

• Opposite over adjacent

What mnemonic device is used to remember trigonometric ratios?

• BODMAS

• PEMDAS

• SOHCAHTOA

• FOIL

In the example with angles A and B, what is the sine of angle A?

• 5/13

• 12/13

• 5/12

• 13/5

For angle B, what is the cosine ratio?

• 5/13

• 12/13

• 13/5

• 5/12

In the example with angles S and E, what is the tangent of angle S?

• 3/5

• 4/3

• 5/3

• 3/4

What is the sine of angle E in the example with angles S and E?

• 3/5

• 4/5

• 5/3

• 5/4

What is the cosine of 30 degrees using a special right triangle?

• √3/2

• 2/√3

• √2/2

• 1/2