Understanding Tangent Ratios and Angles

This video tutorial introduces the tangent ratio, represented by the acronym TOA, which stands for tangent theta equals opposite over adjacent. The video focuses on finding missing angles using the tangent function and provides step-by-step examples. It explains how to use a calculator to find angles by taking the inverse tangent of a ratio. The tutorial includes practice problems and encourages viewers to try solving them independently. The video concludes with a call to action to like and subscribe for more math content.

What does the acronym TOA stand for in trigonometry?

• Tangent equals Adjacent over Opposite

• Tangent equals Hypotenuse over Opposite

• Tangent equals Opposite over Hypotenuse

• Tangent equals Opposite over Adjacent

In the context of the tangent ratio, what does the 'opposite' refer to?

• The longest side of the triangle

• The side opposite the angle in question

• The hypotenuse of the triangle

• The side adjacent to the angle in question

How do you find a missing angle using the tangent ratio?

• Use the cosine function on the ratio of adjacent to hypotenuse

• Use the sine function on the ratio of opposite to hypotenuse

• Use the inverse tangent function on the ratio of opposite to adjacent sides

• Use the inverse sine function on the ratio of opposite to adjacent sides

What is the first step in solving for angle M using the tangent ratio?

• Use the sine function

• Calculate the hypotenuse

• Use the cosine function

• Identify the opposite and adjacent sides

What should you ensure about your calculator when finding an angle using the tangent ratio?

• It is in scientific mode

• It is in basic mode

• It is set to radians

• It is set to degrees

What is the tangent of angle M if the opposite side is 9 and the adjacent side is 11?

• 9/11

• 9/20

• 11/9

• 11/20

What is the approximate value of angle M when the tangent is 9/11?

• 39.29 degrees

• 45 degrees

• 30 degrees

• 60 degrees

What is the tangent of angle R if the opposite side is 5 and the adjacent side is 12?

• 12/17

• 12/5

• 5/12

• 5/17

What is the approximate value of angle R when the tangent is 5/12?

• 22.62 degrees

• 30 degrees

• 45 degrees

• 60 degrees

What is the tangent of angle T if the opposite side is 5 and the adjacent side is 8?

• 5/8

• 8/13

• 8/5

• 5/13