Trigonometric Functions and Ratios

The video tutorial provides a review of right triangle trigonometry, focusing on the concepts of sine, cosine, and tangent. It explains how to calculate these trigonometric functions using the sides of a right triangle, specifically the opposite, adjacent, and hypotenuse. The tutorial emphasizes the importance of the mnemonic 'SOHCAHTOA' to remember the relationships between the angles and sides of a right triangle. Each section of the video breaks down the calculation process for sine, cosine, and tangent, using a specific angle as an example.

What is the longest side of a right triangle called?

• Adjacent

• Base

• Hypotenuse

• Opposite

Tags

CCSS.HSG.SRT.C.6

In the context of trigonometry, what does the sine function represent?

• Adjacent over Hypotenuse

• Opposite over Hypotenuse

• Hypotenuse over Opposite

• Opposite over Adjacent

Tags

CCSS.HSG.SRT.C.6

If the opposite side is 12 and the hypotenuse is 13, what is the sine of angle F?

• 5/13

• 13/12

• 12/13

• 12/5

Tags

CCSS.HSG.SRT.C.6

What does the cosine function calculate in a right triangle?

• Adjacent over Hypotenuse

• Hypotenuse over Adjacent

• Opposite over Adjacent

• Opposite over Hypotenuse

Tags

CCSS.HSG.SRT.C.6

For angle F, if the adjacent side is 5 and the hypotenuse is 13, what is the cosine of F?

• 5/13

• 12/13

• 13/5

• 12/5

Tags

CCSS.HSG.SRT.C.6

What does the tangent function represent in trigonometry?

• Hypotenuse over Adjacent

• Opposite over Adjacent

• Opposite over Hypotenuse

• Adjacent over Hypotenuse

Tags

CCSS.HSG.SRT.C.6

If the opposite side is 12 and the adjacent side is 5, what is the tangent of angle F?

• 5/12

• 12/5

• 5/13

• 13/5

Tags

CCSS.HSG.SRT.C.6

Which mnemonic helps remember the trigonometric ratios?

• Cosine Rule

• Sine Rule

• Pythagorean

• SOHCAHTOA

Tags

CCSS.HSG.SRT.C.6

What is the primary focus of the SOHCAHTOA mnemonic?

• Remembering trigonometric ratios

• Solving algebraic equations

• Identifying triangle types

• Calculating angles

Tags

CCSS.HSG.SRT.C.6

Which side is used in both sine and cosine calculations?

• Opposite

• Adjacent

• Hypotenuse

• Base

Tags

CCSS.HSG.SRT.C.6