Use even and odd functions to evaluate trigonometric functions

Use even and odd functions to evaluate trigonometric functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate the sine of negative t and find the cosecant of t. It begins by discussing the properties of sine as an odd function, meaning sine of negative t equals negative sine of t. The tutorial then covers the reciprocal relationship between sine and cosecant, showing how to calculate cosecant of t by first determining sine of t. The process involves understanding reciprocal identities and performing calculations to find the correct values.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when evaluating the sine of negative t?

It equals the sine of t

It equals the negative sine of t

It equals zero

It equals the cosine of t

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How are the sine and cosecant functions related?

They are unrelated functions

They are identical functions

They are reciprocal functions

They are inverse functions

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If sine of t is 3/8, what is the sine of negative t?

8/3

-3/8

-8/3

3/8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosecant of t if the sine of t is -3/8?

-3/8

3/8

-8/3

8/3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result for the cosecant of t when sine of negative t equals 3/8?

3/5

-3/5

8/3

-8/3