Given a point on the unit circle evaluate the six trig functions

Given a point on the unit circle evaluate the six trig functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate all six trigonometric functions for the angle C = -5π/6. It begins with graphing the angle on the unit circle, identifying the corresponding point, and calculating sine, cosine, and tangent. The tutorial also covers rationalizing denominators and finding reciprocals for cosecant, secant, and cotangent.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in evaluating the trigonometric functions for the angle C = -5π/6?

Determine the reciprocal functions

Find the reference angle

Graph the angle on the unit circle

Calculate the sine of the angle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the reference angle for -5π/6 determined?

By doubling the angle

By subtracting π/6 from the angle

By finding the distance to π/6

By adding π/6 to the angle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Y-coordinate of the point corresponding to the angle -5π/6 on the unit circle?

1/2

-1/2

sqrt 3 / 2

-sqrt 3 / 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is represented by the X-coordinate on the unit circle?

Cosine

Cosecant

Sine

Tangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the tangent of the angle -5π/6?

-sqrt 3

-1

sqrt 3

1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of the sine function called?

Cotangent

Tangent

Cosecant

Secant

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you rationalize the denominator of a fraction?

Add the denominator

Multiply by the conjugate

Subtract the numerator

Multiply by the numerator