Find the six trigonometric functions when given sine and a constraint on cosine

Find the six trigonometric functions when given sine and a constraint on cosine

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to find the values of six trigonometric functions given sine of 3/5 with the angle in quadrant 2. It highlights the need to use right triangle trigonometry when the point is not on the unit circle. The tutorial walks through setting up the triangle, using the Pythagorean theorem, and calculating sine, cosine, tangent, and their reciprocals. It emphasizes the importance of understanding quadrants and constraints to determine the correct triangle.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the sine value of 3/5 in relation to the unit circle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the coordinates of a point when the hypotenuse is not equal to 1?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do the constraints of quadrants affect the evaluation of trigonometric functions?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to use the Pythagorean theorem to find the missing side of a triangle in quadrant 2.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the six trigonometric functions evaluated for an angle in quadrant 2 with sine 3/5?

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