Evaluate the six trigonometric functions for the given real number

Evaluate the six trigonometric functions for the given real number

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate six trigonometric functions for a given angle by finding coterminal angles. The process involves subtracting 2π to simplify the angle and using the unit circle to determine coordinates. The tutorial also covers rationalizing denominators and simplifying results, concluding with a summary of the steps involved.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of finding where an angle intersects the unit circle?

To calculate the angle's area

To find the angle's speed

To evaluate trigonometric functions

To determine the angle's length

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you eliminate extra revolutions when working with angles like 21π/4?

By multiplying by 2π

By dividing by 2π

By adding 2π

By subtracting 2π

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the smallest coterminal angle for 21π/4?

π/4

5π/4

3π/4

π/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

1

√2

0

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is the reciprocal of the sine function?

Cosine

Cotangent

Secant

Cosecant