Evaluate your six trigonometric functions when given a point not on the unit circle

Evaluate your six trigonometric functions when given a point not on the unit circle

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 coordinate point. It highlights the difference between using the unit circle and a right triangle when the point is not on the unit circle. The tutorial covers calculating the hypotenuse and finding sine, cosine, tangent, and their reciprocal functions. It concludes with addressing questions about coordinate points and sign changes in different quadrants.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it necessary to use a right triangle to evaluate trigonometric functions for a point not on the unit circle?

Because the point is on the y-axis

Because the radius is not 1

Because the point is at the origin

Because the point is on the x-axis

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the hypotenuse of a right triangle with legs of 7 and 24?

31

7

25

24

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the sine of an angle in a right triangle?

Adjacent over hypotenuse

Opposite over adjacent

Opposite over hypotenuse

Adjacent over opposite

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reciprocal of the sine function?

Secant

Tangent

Cosecant

Cotangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a point is in the second quadrant, how does it affect the sign of the cosine function?

Cosine is positive

Cosine is negative

Cosine is zero

Cosine is undefined