Evaluate your six trig identities given a point on the unit circle

Evaluate your six trig identities given a point on the unit circle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers evaluating trigonometric functions at a specific point on the unit circle, focusing on the angle 3π/4. It explains the concept of radians, how to express π as a fraction, and how to segment the circle. The tutorial uses special triangles to find coordinate points and evaluates sine, cosine, and tangent functions. It also discusses reciprocal functions and simplification techniques, emphasizing the importance of recognizing patterns to simplify calculations.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of 3π/4 in degrees?

180 degrees

45 degrees

90 degrees

135 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can π be rewritten to help segment the unit circle into fractions?

3π/4

4π/4

2π/4

π/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which special triangle is used to find the coordinates at 3π/4?

30-60-90 triangle

60-60-60 triangle

45-45-90 triangle

30-30-120 triangle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x-coordinate of the point at 3π/4 on the unit circle?

-1

-sqrt(2)/2

1

sqrt(2)/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of sine at 3π/4?

-sqrt(2)/2

sqrt(2)/2

1

0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of tangent at 3π/4?

-1

1

0

sqrt(2)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of sine called?

Secant

Cosecant

Tangent

Cotangent