Pre-Calculus - Learn how to simplify a trigonometric expression using cofunction identities

Pre-Calculus - Learn how to simplify a trigonometric expression using cofunction identities

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the concept of cofunction identities in trigonometry, focusing on the relationship between cosine and sine. It explains how the cosine of an angle subtracted from 90 degrees is equal to the sine of that angle, using both degree and radian measures. The tutorial further simplifies trigonometric expressions by transforming secant into a reciprocal identity and ultimately deriving the tangent function. The session concludes with a review of these key concepts, emphasizing the equivalence of angles in different units.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are cofunction identities and how do they apply to the unit circle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you transform secant in terms of cosine using reciprocal identities?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final identity derived from the expression involving cosine of π/2 minus X and secant of X?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the cosine of 90 degrees minus an angle and the sine of that angle?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the cosine of π/2 minus X is related to the sine of X.

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