Evaluate the six trigonometric functions for the given real number

Evaluate the six trigonometric functions for the given real number

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate the six trigonometric functions for an angle of 6 Pi. It begins by describing the importance of understanding the first quadrant of the unit circle. The tutorial then demonstrates how to locate the angle 6 Pi on the unit circle and calculate the sine, cosine, tangent, and their reciprocal functions. The video concludes by summarizing the key steps in evaluating these functions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of understanding the first quadrant of the unit circle?

It helps in finding points in other quadrants.

It is the only quadrant needed for trigonometry.

It contains all possible angles.

It is used to measure angles in degrees.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many times do you rotate around the circle to reach the angle 6π?

Twice

Six times

Once

Three times

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of the point where the angle 6π intersects the unit circle?

(0, -1)

(-1, 0)

(1, 0)

(0, 1)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of the sine function for the angle 6π?

1

0

Undefined

-1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is undefined for the angle 6π?

Sine

Cosine

Cosecant

Secant