Simplify a trigonometric expression using even and odd identities

Simplify a trigonometric expression using even and odd identities

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to simplify the expression sine of negative X times cotangent of negative X using even and odd identities. It covers the properties of sine and cotangent as odd functions and demonstrates how to rewrite cotangent in terms of sine and cosine. The tutorial concludes by simplifying the expression to cosine of X, highlighting the use of even and odd identities in the process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying the odd identity to sine of negative X?

Positive sine of X

Positive cosine of X

Negative sine of X

Negative cosine of X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is also considered odd like sine?

Secant

Cotangent

Tangent

Cosine

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent expression for cotangent of negative X using odd identities?

Negative tangent of X

Positive tangent of X

Positive cotangent of X

Negative cotangent of X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can cotangent be rewritten in terms of sine and cosine?

Tangent over sine

Sine over cosine

Sine over tangent

Cosine over sine

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified expression for sine of negative X times cotangent of negative X?

Sine of X

Cosine of X

Tangent of X

Secant of X