Trigonometric Functions and Unit Circle

Trigonometric Functions and Unit Circle

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains how to evaluate the six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) using the unit circle. It covers the identification of angles, their positions on the unit circle, and the calculation of trigonometric values. The tutorial also addresses reciprocal identities and the handling of negative angles, providing a comprehensive guide to understanding trigonometric functions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary method used to evaluate trigonometric functions in this tutorial?

Using the unit circle

Using a calculator

Using a protractor

Using a graphing tool

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When locating angles on the unit circle, where does the initial side of an angle start?

On the negative y-axis

On the positive y-axis

On the negative x-axis

On the positive x-axis

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the sine of an angle determined using the unit circle?

By the x-coordinate of the intersection point

By the angle's degree measure

By the y-coordinate of the intersection point

By the radius of the circle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of tangent for the angle 5π/4?

0

Undefined

-1

1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal identity of sine?

Cotangent

Cosecant

Secant

Tangent

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you rationalize a denominator that contains a square root?

Multiply by the reciprocal of the square root

Add the square root

Divide by the square root

Multiply by the square root

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of secant for the angle 5π/4?

-Square root of 2

Square root of 2

1

-1

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