How to verify a trig identity step by step

How to verify a trig identity step by step

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains cofunction identities, focusing on cotangent and its relationship with other trigonometric functions. It discusses even-odd identities, reciprocal identities, and how to simplify expressions using these concepts. The tutorial emphasizes the reciprocal nature of cotangent and tangent, leading to simplification results like negative cosecant. The explanation is supported by examples and concludes with a summary of the identities discussed.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which functions are considered even in trigonometry?

Secant and Cosecant

Cosine and Secant

Sine and Cosine

Tangent and Cotangent

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying a function by its reciprocal?

Negative One

One

Infinity

Zero

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Cosine of X times Sine of X

Sine of X over Cosine of X

Cosine of X over Sine of X

Sine of X times Cosine of X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of sine?

Tangent

Cotangent

Cosecant

Secant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final answer derived in the video?

Negative Sine of X

Negative Secant of X

Negative Cosine of X

Negative Cosecant of X