Evaluate for theta between 0 and 2pi

Evaluate for theta between 0 and 2pi

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains when trigonometric functions are undefined, focusing on division by zero. It discusses the cosecant function, represented as 1/y, and how to determine when the Y coordinate is zero on the unit circle. The tutorial also covers constraints for Theta, specifically between 0 and 2π, excluding these values. It concludes by identifying the angle where the Y coordinate is zero, which is at π radians, and summarizes the process of evaluating trigonometric functions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When do trigonometric functions become undefined?

When the angle is greater than 2π

When dividing by zero

When the angle is negative

When the angle is less than 0

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the cosecant of theta represent on the unit circle?

1 / y

x / y

1 / x

y / x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which coordinate is crucial for determining when the cosecant function is undefined?

Theta-coordinate

Z-coordinate

Y-coordinate

X-coordinate

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the constraint for theta in the given context?

Between 0 and 2π, excluding 0 and 2π

Between 0 and π

Between π and 2π

Between -π and π

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radian measure of theta when the y-coordinate is zero?

0

π/2

π