Solve the quadratic equation

Solve the quadratic equation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve trigonometric equations by factoring. It begins with moving all variables to one side and factoring common terms. The focus is on factoring sine squared of Theta into a product and solving the resulting equations. The tutorial then uses the unit circle to find angle solutions, specifically at 0, π/2, and π radians.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation by factoring?

Add all variables to one side

Multiply all terms by zero

Divide by the highest coefficient

Subtract constants from both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When factoring sine squared of Theta, what common factor is identified?

Sine of Theta

Cosine of Theta

Tangent of Theta

Theta itself

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation is formed after factoring sine squared of Theta?

Sine of Theta equals one

Sine of Theta times Sine of Theta minus one equals zero

Cosine of Theta equals zero

Tangent of Theta equals one

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the angle π related to the unit circle?

It is half of a full circle

It is three-quarters of a circle

It is a full circle

It represents a quarter turn

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a solution for sine of Theta equals zero on the unit circle?

0

3π/2

π/2

π/4