How to Find the Amplitude and Period of the Cosine Equation

How to Find the Amplitude and Period of the Cosine Equation

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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The video tutorial explains how to find the period of a function using the formula 2π/B. It clarifies that B is the coefficient of X in the equation and demonstrates how to handle fractions in the denominator by multiplying by the reciprocal. The example provided shows that multiplying 2π by the reciprocal of 2/3 results in a period of 6π.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to find the period of a function?

π / A

2π / A

2π / B

π / B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the expression 2X/3 be rewritten?

3/2 * X

X/2 * 3

2/3 * X

3X/2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression 2X/3, what is the correct value of B?

3

2

2/3

1/3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to eliminate a fraction in the denominator?

Division by the reciprocal

Multiplication by the reciprocal

Subtraction

Addition

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result when 2π is multiplied by the reciprocal of 2/3?