Learn how to solve trigonometric equation with cosine on both sides

Learn how to solve trigonometric equation with cosine on both sides

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains solving a mathematical problem by factoring and using the zero product property. It involves moving terms to one side, factoring out cosine, and setting the product to zero. The unit circle is used to find solutions for cosine values, and alternative methods involving sine are discussed.

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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 the given problem using factoring?

Take the cube root of both sides

Subtract cosine of X from both sides

Add cosine of X to both sides

Multiply both sides by cosine of X

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When factoring out cosine of X, what is the resulting equation set to?

1

π

0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which angles correspond to cosine of X being zero on the unit circle?

π/4 and 3π/4

π/3 and 2π/3

π/2 and 3π/2

0 and π

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the angles where cosine of X equals 1 or -1?

0 and π

π/2 and 3π/2

0 and 2π

π/4 and 3π/4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What alternative method is mentioned for solving the problem?

Using cotangent

Using secant

Using sine

Using tangent