Understanding SOHCAHTOA

This video tutorial explains the concept of SOHCAHTOA, a mnemonic for remembering the trigonometric functions sine, cosine, and tangent. It details how these functions relate to the sides of a right triangle and provides examples and practice problems to reinforce understanding. The video concludes with a call to action for viewers to engage with the content.

What is the primary purpose of SOHCAHTOA in trigonometry?

• To calculate the area of a circle

• To remember the three main trigonometric functions

• To find the perimeter of a polygon

• To solve algebraic equations

In a right triangle, which side is always opposite the right angle?

• Hypotenuse

• Adjacent side

• Opposite side

• Base

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

• Adjacent over hypotenuse

• Hypotenuse over adjacent

• Opposite over adjacent

• Opposite over hypotenuse

What does the cosine function compare in a right triangle?

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

Which side can never be considered as the adjacent side when calculating cosine?

• Base

• Hypotenuse

• Height

• Opposite side

How is the tangent of an angle in a right triangle determined?

• Hypotenuse over opposite

• Opposite over adjacent

• Adjacent over opposite

• Adjacent over hypotenuse

In the context of tangent, which two sides are compared?

• Opposite and adjacent

• Opposite and hypotenuse

• Adjacent and base

• Hypotenuse and adjacent

For a triangle with sides 5, 12, and 13, what is the sine of the angle opposite the side of length 12?

• 13/12

• 5/12

• 12/13

• 5/13

In the same triangle, what is the cosine of the angle opposite the side of length 5?

• 12/13

• 5/12

• 13/5

• 5/13

What is the tangent of the angle opposite the side of length 12 in the triangle with sides 5, 12, and 13?

• 5/13

• 13/5

• 12/5

• 5/12