Acute Angles and Trigonometric Functions

Acute Angles and Trigonometric Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the concept of related acute angles and how to express trigonometric functions using these angles. It covers the definition of acute angles, the rules of trigonometric ratios in different quadrants, and provides examples for sine, cosine, tangent, and secant functions. The tutorial emphasizes understanding the quadrant in which the angle lies to determine the sign of the trigonometric function.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main topic discussed in the video?

Using related acute angles to find equivalent expressions

Understanding acute angles

Learning about trigonometric functions

Exploring the properties of angles

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is true about acute angles?

They are always greater than 90 degrees

They can be any angle

They are always negative

They are always less than 90 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of an acute angle?

Greater than 180 but less than 270 degrees

Greater than 90 but less than 180 degrees

Greater than 0 but less than 90 degrees

Greater than 270 but less than 360 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant are all trigonometric ratios positive?

Quadrant I

Quadrant III

Quadrant II

Quadrant IV

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the CAST rule help determine?

The length of a side in a triangle

The sign of trigonometric functions in different quadrants

The size of an angle

The type of angle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the related acute angle for sine 160 degrees?

20 degrees

40 degrees

10 degrees

30 degrees

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent expression for sine 160 degrees using an acute angle?

sine 50 degrees

sine 40 degrees

sine 30 degrees

sine 20 degrees

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