Evaluate sine cosine and tangent for a point on the unit circle

Evaluate sine cosine and tangent for a point on the unit circle

Assessment

Interactive Video

Mathematics, Business

11th Grade - University

Hard

Created by

Quizizz Content

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The video tutorial explains how to evaluate sine, cosine, and tangent for a given angle, specifically t = 3π/4. It covers sketching the angle on a unit circle, understanding radians, identifying key points on the unit circle, reflecting points over the Y-axis, and calculating trigonometric functions using these points.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when given an angle to evaluate its sine, cosine, and tangent?

Calculate the sine directly

Sketch the angle

Find the tangent

Memorize the unit circle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many radians are there in a full circle?

π radians

2π radians

3π radians

4π radians

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the terminal side of an angle?

The angle's reflection

The starting point of the angle

The midpoint of the angle

The point where the angle ends

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which quadrant is the point (-√2/2, √2/2) located in?

First quadrant

Fourth quadrant

Third quadrant

Second quadrant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of an angle equal to on the unit circle?

The X-coordinate

The Y-coordinate

The tangent

The radius

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the tangent of an angle using the unit circle?

X divided by Y

Y divided by X

X plus Y

Y minus X

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosine of the angle t = 3π/4?

0

√2/2

-√2/2

1