How to set up your triangle when given a point to evaluate trig functions

How to set up your triangle when given a point to evaluate trig functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial covers the evaluation of six trigonometric functions using triangles. It discusses different problem types, including given triangles, equations, and coordinate points. The teacher emphasizes the importance of plotting points, creating triangles, and simplifying radicals. Strategies for multiple choice tests are also provided, focusing on the significance of reference angles and the impact of quadrants on trigonometric functions.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when given a coordinate point to find trigonometric functions?

Calculate the hypotenuse directly

Use the sine function immediately

Find the tangent of the angle

Plot the point and create a triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using the Pythagorean theorem, what is the result of simplifying sqrt 20?

sqrt 10

4

2 sqrt 5

5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to create triangles with the central angle at the origin?

It simplifies the calculation of angles

It makes the triangle larger

It ensures the triangle is always right-angled

It helps in accurately determining reference angles

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do side lengths affect trigonometric functions in different quadrants?

They change the type of triangle

They only affect the hypotenuse

They determine the sign of the functions

They do not affect the functions

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you be cautious of when two multiple-choice answers differ only by a negative sign?

Both answers are correct

The negative sign is irrelevant

One answer is correct, the other is not

The question is invalid