Given any point find your six trig functions

Given any point find your six trig functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the process of solving a trigonometric problem involving the sine function and the unit circle. It begins with an introduction to the problem, followed by a review of previous concepts related to the sine of 30 degrees and the unit circle. The tutorial then identifies the unknown variable, theta, and discusses how to approach problems with points not on the unit circle by drawing triangles and using the Pythagorean theorem. The video emphasizes the importance of understanding trigonometric functions and their relationships in solving such problems.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the sine of 30 degrees represent on the unit circle?

The x-coordinate

The y-coordinate

The angle

The radius

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius of the unit circle?

3

0

1

2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If sine of an angle is 3/4, what should you do first?

Calculate the tangent

Find the angle on the unit circle

Draw a triangle

Use the cosine function

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the hypotenuse of a triangle on the unit circle?

1

4

2

3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the missing side of a triangle when given two sides?

Use the sine function

Use the tangent function

Use the cosine function

Use the Pythagorean theorem

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after finding all sides of a triangle?

Use the unit circle

Draw another triangle

Find the angle

Calculate sine, cosine, and tangent

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is defined as opposite over hypotenuse?

Secant

Sine

Tangent

Cosine