Evaluate for a point using your six trig functions

Evaluate for a point using your six trig functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers the unit circle, focusing on key points and angles, including π/3, π/6, and 45 degrees. It explains how to handle negative angles, specifically -3π/2, and how to calculate trigonometric functions like sine, cosine, and tangent for these points. The tutorial emphasizes understanding the circle's division and the implications of negative direction on angle measurement.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius of the unit circle?

0

1

π

2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a coordinate for a 45-degree angle on the unit circle?

(√2/2, √2/2)

(0, 1)

(1, 0)

(1/2, √3/2)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express π in terms of a denominator of 2?

2π/2

4π/2

π/2

3π/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of a negative angle on the unit circle?

It halves the angle

It doubles the angle

It moves counterclockwise

It moves clockwise

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the coordinate point for -3π/2 on the unit circle?

(0, -1)

(1, 0)

(-1, 0)

(0, 1)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine value for the point T at -3π/2?

-1

0

Undefined

1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the tangent of -3π/2 undefined?

X is zero

Both X and Y are zero

Neither X nor Y is zero

Y is zero

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