Solving a trigonometric equation by factoring

Solving a trigonometric equation by factoring

Assessment

Interactive Video

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Quizizz Content

Mathematics

11th Grade - University

Hard

The video tutorial covers solving equations, starting with basic linear equations using inverse operations. It progresses to quadratic equations, emphasizing the use of factoring and the zero product property. The tutorial then transitions to solving trigonometric equations, applying similar factoring techniques. Finally, it explores using the unit circle to find solutions for trigonometric equations, focusing on sine values and their corresponding angles.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation using inverse operations?

Apply the zero product property

Use the unit circle

Factor the equation

Isolate the variable

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can't inverse operations be used directly on quadratic equations?

They involve trigonometric functions

They require the unit circle

They have squared variables

They are too complex

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is used in conjunction with factoring to solve quadratic equations?

Zero product property

Unit circle

Inverse operations

Pythagorean theorem

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When factoring a quadratic equation, what do you set each binomial equal to?

One

Zero

The constant term

The coefficient of x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In trigonometric equations, what is the equivalent of factoring in algebra?

Using the unit circle

Applying inverse operations

Factoring sine and sine squared terms

Isolating the sine function

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sine value when the angle is 3π/2 on the unit circle?

0

1

-1

1/2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angles correspond to a sine value of -1/2 on the unit circle?

π/6 and 5π/6

π/4 and 3π/4

7π/6 and 11π/6

π/3 and 2π/3