Given a point find the six trigonometric functions of the angle

Given a point find the six trigonometric functions of the angle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial explains how to find trigonometric functions given a point not on the unit circle. It involves creating a right triangle, using the Pythagorean theorem to find the hypotenuse, and calculating sine, cosine, and tangent. The tutorial also covers finding reciprocal trigonometric functions: cosecant, secant, and cotangent.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding trigonometric functions from a point not on the unit circle?

Plot the point on the Y-axis

Create a triangle using the point

Find the angle using a protractor

Use the unit circle directly

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the hypotenuse of the triangle formed from the point?

By measuring it directly

By guessing based on the point's location

Using a calculator

Using the Pythagorean theorem

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the sine of an angle in a right triangle?

Adjacent over hypotenuse

Opposite over adjacent

Hypotenuse over opposite

Opposite over hypotenuse

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cosecant of an angle if the sine is 1/sqrt(17)?

1/17

17

1/sqrt(17)

sqrt(17)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the cotangent of an angle related to the tangent?

It is the negative of the tangent

It is the square of the tangent

It is the reciprocal of the tangent

It is the same as the tangent