Understanding Tangent Ratios and Angles

Understanding Tangent Ratios and Angles

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Easy

Created by

Thomas White

Used 1+ times

FREE Resource

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.

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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

39.29 degrees

45 degrees

30 degrees

60 degrees

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