Exploring Trigonometric Ratios

The video tutorial introduces trigonometric ratios, focusing on tangent, sine, and cosine. It explains how these ratios are used to find side lengths in right triangles, using the mnemonic SOHCAHTOA to remember the relationships. The tutorial includes examples to demonstrate how to apply these ratios in problem-solving.

What is the first trigonometric ratio discussed?

• Sine

• Cotangent

• Cosine

• Tangent

What does the Greek letter theta represent in trigonometry?

• The length of a side

• The hypotenuse of a triangle

• An unknown angle

• A specific trigonometric function

How is the sine ratio defined in terms of a right triangle?

• Opposite over adjacent

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Adjacent over opposite

What is the mnemonic used to remember trigonometric ratios?

• TOAHCAHSO

• HOTASCOAH

• SOHCAHTOA

• COSAHTOHS

Which trigonometric ratio uses adjacent and hypotenuse?

• Sine

• Cosine

• Secant

• Tangent

In the given examples, which trigonometric ratio is used to solve for a side opposite a 52-degree angle?

• Cosecant

• Sine

• Cosine

• Tangent

How do you solve for an unknown side labeled 'X' when given the opposite side and an angle?

• Use the cosine ratio

• Use the sine ratio

• Cannot be determined

• Use the tangent ratio

What is the result of solving the equation with a 38-degree angle using the tangent ratio?

• 10.24

• 15.36

• 7.69

• 12.00

Which trigonometric ratio is appropriate for solving a problem involving an adjacent side and the hypotenuse?

• Sine

• Cosine

• Tangent

• Secant

What is the value obtained when solving for 'X' using the cosine of a 16-degree angle?

• 10.24

• 15.36

• 12.00

• 7.69