Exploring Trigonometric Ratios

The video tutorial introduces trigonometric ratios, explaining them as ratios of side lengths in a right triangle. It covers the definitions of sine, cosine, and tangent, and introduces the SOHCAHTOA acronym to help remember these ratios. The tutorial demonstrates how to apply these concepts using diagrams and solve for unknown variables in triangles. It includes example problems for practice, emphasizing the use of a calculator for accurate results.

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

• Adjacent side over hypotenuse

• Opposite side over adjacent side

• Adjacent side over opposite side

• Opposite side over hypotenuse

What is the mnemonic used to remember trigonometric ratios?

• TOAHCOHS

• HOCASOTH

• SOHCAHTOA

• COHSATOH

How do you find the cosine of an angle in a right triangle?

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

• Hypotenuse over adjacent side

• Opposite side over adjacent side

What does the tangent of an angle equal to?

• Opposite over adjacent

• Hypotenuse over opposite

• Hypotenuse over adjacent

• Adjacent over opposite

From the perspective of angle A, which side is considered opposite?

• Side J

• Side K

• Side L

• Side X

How do you calculate the sine of angle B?

• J over L

• L over K

• J over K

• K over L

What equation setup is used to solve for X using the sine function?

• Sine of angle = hypotenuse over opposite

• Sine of angle = adjacent over opposite

• Sine of angle = adjacent over hypotenuse

• Sine of angle = opposite over hypotenuse

When solving for Y, which trigonometric function is used if Y is the adjacent side?

• Sine

• Cosine

• Cotangent

• Tangent

What calculator mode must be used for trigonometry problems?

• Radian

• Graphing

• Degree

• Scientific

How is the tangent of 64 degrees calculated when solving for X?

• X over 64

• 64 over X

• X over 8

• 8 over X