How to use the zero product property to solve trig sinx

How to use the zero product property to solve trig sinx

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve functions by factoring and using the zero product property. It covers solving trigonometric equations involving the sine function and finding angle values using the unit circle. The tutorial also discusses general solutions for angles in trigonometric equations, emphasizing the importance of understanding the zero product property and factoring techniques.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the zero product property used for in solving equations?

To find the sum of two numbers

To solve linear equations

To determine when a product of factors equals zero

To calculate the derivative of a function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving sine equations, what does the Y-coordinate represent on the unit circle?

The cosine value

The sine value

The angle in degrees

The X-coordinate

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At which angles is the sine of X equal to zero?

π/4 and 3π/4

π/3 and 2π/3

0 and π

π/2 and 3π/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you express all solutions for sine of X = 0 using n?

X = 3π/2 + nπ

X = π/2 + nπ

X = 2nπ

X = nπ

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general solution for sine of X = -1?

X = 2nπ

X = 3π/2 + 2nπ

X = nπ

X = π/2 + 2nπ