Evaluate the sine, cosine, and tangent for an angle using special right triangles

Evaluate the sine, cosine, and tangent for an angle using special right triangles

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial covers the basics of trigonometric functions, focusing on sine, cosine, and tangent. It explains how to identify π/4 and its position in the first quadrant, equating it to 45 degrees. The tutorial discusses the 45-45-90 triangle relationships and demonstrates how to calculate sine, cosine, and tangent for π/4. Finally, it verifies these calculations using the unit circle, emphasizing the relationship between trigonometric functions and coordinates.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equivalent degree measure of π/4?

30 degrees

90 degrees

45 degrees

60 degrees

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a 45-45-90 triangle, what is the ratio of the sides?

1:√3:2

1:1:1

1:2:√3

1:1:√2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine of π/4?

1

0

1/2

√2/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the cosine of an angle related to the unit circle?

It is the Y coordinate

It is the X coordinate

It is the hypotenuse

It is the tangent

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the tangent of π/4?

0

1

2

√2