Evaluate the composition of inverse trig function in terms of x

Evaluate the composition of inverse trig function in terms of x

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explores solving a tangent problem using trigonometric concepts. It begins with an introduction to the problem, discussing the unit circle and the unknown value of X. The tutorial then explains how to construct a triangle in the first quadrant, ensuring all values are positive. The Pythagorean theorem is applied to solve for the missing side, B, in terms of X. The video also addresses domain restrictions and concludes with writing the tangent equation using the cosine inverse and Pythagorean theorem.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the sides of the triangle formed in the first quadrant?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the value of B in terms of X using the Pythagorean theorem?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What restrictions apply to the values of X in this context?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation for the tangent derived from the given information?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to use the cosine inverse to create a triangle in this scenario.

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