Evaluate your point using period as an aide - free math help

Evaluate your point using period as an aide - free math help

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to evaluate the sine of 19π/6 by breaking down the circle into parts and understanding revolutions and coterminal angles. It simplifies the problem using periods and demonstrates how to find coordinate points and understand reflections in different quadrants. The tutorial concludes with shortcuts for evaluating angles greater than 2π.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in evaluating the sine of an angle like 19π/6?

Break the angle into smaller parts

Convert the angle to degrees

Use a calculator to find the sine

Approximate the angle to the nearest whole number

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you simplify the evaluation of sine for angles greater than 2π?

By adding 2π to the angle

By dividing the angle by 2π

By subtracting 2π from the angle

By multiplying the angle by 2π

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the angle 12π/6 in the context of coterminal angles?

It is used to find the tangent of the angle

It is the same as 3π/6

It is equivalent to 2π, a full revolution

It represents a quarter of a revolution

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of the point corresponding to the angle 7π/6 on the unit circle?

(1/2, -sqrt(3)/2)

(-1/2, sqrt(3)/2)

(-sqrt(3)/2, -1/2)

(sqrt(3)/2, 1/2)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine value of the angle 7π/6?

-1/2

-sqrt(3)/2

1/2

sqrt(3)/2