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Trigonometric Functions and Their Properties

Trigonometric Functions and Their Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers various trigonometric concepts using the unit circle. It begins with identifying points on the unit circle for specific angles, such as pi/3, and determining angles with positive cosine values. The tutorial then explores finding angles where the sine equals 0.4 and where the cosine is zero. It also discusses reflections of angles on the unit circle and identifies quadrants where the x-coordinate is greater than the y-coordinate. Finally, the video explains graph translation of functions, specifically how a function is translated when modified by a constant.

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point on the unit circle corresponds to the cosine of pi over 3?

A

B

C

D

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the cosine value positive?

First and Second

Third and Fourth

First and Fourth

Second and Third

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine value of an angle in the first quadrant?

Positive

Negative

Zero

Undefined

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angle has a positive cosine value?

7 pi over 6

5 pi over 3

3 pi over 4

5 pi over 6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine value of an angle with a y-coordinate of 0.4 on the unit circle?

1.0

0.8

0.6

0.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many angles on the unit circle have a sine value of 0.4?

One

Two

Three

Four

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At which angle is the cosine value zero?

Pi/2

2 Pi

3 Pi/2

Pi

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