Given a point find the six trigonometric functions

Given a point find the six trigonometric functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate the six trigonometric functions using a given point not on the unit circle. It covers creating a triangle from the point, applying the Pythagorean theorem to find the hypotenuse, and calculating the sine, cosine, and tangent ratios. The tutorial also discusses the reciprocal trigonometric functions, including cosecant, secant, and cotangent, and the importance of rationalizing denominators.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the six trigonometric functions that can be evaluated using a right triangle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you create a right triangle from a point on the unit circle?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of the angle Theta in relation to the trigonometric functions.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the Pythagorean theorem state in the context of finding the hypotenuse of a triangle?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the sine, cosine, and tangent of an angle using the sides of a triangle?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the reciprocal functions of sine, cosine, and tangent?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of rationalizing the denominator when simplifying trigonometric function values.

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