Evaluating the composition of Functions using Right Triangles

Evaluating the composition of Functions using Right Triangles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate the composition of the tangent of the inverse sine of -3/4. It involves constructing right triangles, determining valid quadrants for the angle, and using the Pythagorean theorem to find side lengths. The final step is evaluating the tangent of the angle, resulting in the answer -3 sqrt 7 / sqrt 7.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to create right triangles when evaluating the inverse sine of a negative value.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the significance of the range of the inverse sine function in determining the correct triangle to use.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process to determine the tangent of an angle when given the inverse sine of a value?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you apply the Pythagorean theorem to find the adjacent side in a right triangle?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps are involved in rationalizing the denominator when calculating the tangent?

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