How to use a triangle to evaluate the six trig functions for an angle

How to use a triangle to evaluate the six trig functions for an angle

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 triangle instead of the unit circle. It begins by determining the hypotenuse using the Pythagorean theorem and simplifying the result. The tutorial then calculates sine, cosine, and tangent based on the triangle's sides, followed by the reciprocal functions: cosecant, secant, and cotangent. The process includes rationalizing denominators and simplifying expressions to reach the final answers.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

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

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the hypotenuse of a triangle using the Pythagorean theorem?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of simplifying the square root of 72.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the sine, cosine, and tangent of Theta based on the triangle described?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the reciprocal properties of the trigonometric functions mentioned.

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