Verify trig identities with multiple identities

Verify trig identities with multiple identities

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explores the process of verifying a trigonometric identity involving cotangent and cosine. The instructor initially attempts to simplify the right side of the equation but finds it cumbersome. Instead, they focus on the left side, using trigonometric identities to rewrite cotangent and cosine in terms of sine. Through this process, the instructor demonstrates how to verify the identity by simplifying both sides to reach the same expression, emphasizing the importance of understanding reciprocal identities and their applications.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of simplifying the right-hand side of the equation discussed.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between cotangent squared and sine squared?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the identity sine squared plus cosine squared equals one?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you rewrite cosine squared in terms of sine?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the distributive property was applied in the context of the problem.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps did the teacher take to verify the identity?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What alternative methods could be used to approach the problem discussed?

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