Find the Amplitude of a Sine or Cosine Function - Pre-Calculus

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Question

Which of the given functions has the greatest amplitude?

Answer

The amplitude of a function is the amount by which the graph of the function travels above and below its midline. When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine. Similarly, the coefficient associated with the x-value is related to the function's period. The largest coefficient associated with the sine in the provided functions is 2; therefore the correct answer is $2\sin(x)$ .

The amplitude is dictated by the coefficient of the trigonometric function. In this case, all of the other functions have a coefficient of one or one-half.

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Question

What is the amplitude of $y=3\sin\left(\frac{x}{5}\right)}$ ?

Answer

For any equation in the form $y=a\sin(bx)$ , the amplitude of the function is equal to $\left | a\right |$ .

In this case, and $b=\frac{1}{5}$ , so our amplitude is .

Compare your answer with the correct one above

Question

What is the amplitude of ?

Answer

The formula for the amplitude of a sine function is from the form:

.

In our function, .

Therefore, the amplitude for this function is .

Compare your answer with the correct one above

Question

Find the amplitude of the following trig function: $y=-2-3sin(2\theta-5)$

Answer

Rewrite $y=-2-3sin(2\theta-5)$ so that it is in the form of:

$y=-3sin(2\theta-5)-2$

The absolute value of is the value of the amplitude.

$\textup{Amplitude= }\left | A\right |= \left | -3\right |=3$

Compare your answer with the correct one above

Question

Find the amplitude of the function.

Answer

For the sine function

where $A\epsilon , \mathbb{R}$

the amplitude is given as $\left | A\right |$ .

As such the amplitude for the given function

is

$\left | 5\right |=5$ .

Compare your answer with the correct one above

Question

Which of the given functions has the greatest amplitude?

Answer

The amplitude of a function is the amount by which the graph of the function travels above and below its midline. When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine. Similarly, the coefficient associated with the x-value is related to the function's period. The largest coefficient associated with the sine in the provided functions is 2; therefore the correct answer is $2\sin(x)$ .

The amplitude is dictated by the coefficient of the trigonometric function. In this case, all of the other functions have a coefficient of one or one-half.

Compare your answer with the correct one above

Question

What is the amplitude of $y=3\sin\left(\frac{x}{5}\right)}$ ?

Answer

For any equation in the form $y=a\sin(bx)$ , the amplitude of the function is equal to $\left | a\right |$ .

In this case, and $b=\frac{1}{5}$ , so our amplitude is .

Compare your answer with the correct one above

Question

What is the amplitude of ?

Answer

The formula for the amplitude of a sine function is from the form:

.

In our function, .

Therefore, the amplitude for this function is .

Compare your answer with the correct one above

Question

Find the amplitude of the following trig function: $y=-2-3sin(2\theta-5)$

Answer

Rewrite $y=-2-3sin(2\theta-5)$ so that it is in the form of:

$y=-3sin(2\theta-5)-2$

The absolute value of is the value of the amplitude.

$\textup{Amplitude= }\left | A\right |= \left | -3\right |=3$

Compare your answer with the correct one above

Question

Find the amplitude of the function.

Answer

For the sine function

where $A\epsilon , \mathbb{R}$

the amplitude is given as $\left | A\right |$ .

As such the amplitude for the given function

is

$\left | 5\right |=5$ .

Compare your answer with the correct one above

Question

Which of the given functions has the greatest amplitude?

Answer

The amplitude of a function is the amount by which the graph of the function travels above and below its midline. When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine. Similarly, the coefficient associated with the x-value is related to the function's period. The largest coefficient associated with the sine in the provided functions is 2; therefore the correct answer is $2\sin(x)$ .

The amplitude is dictated by the coefficient of the trigonometric function. In this case, all of the other functions have a coefficient of one or one-half.

Compare your answer with the correct one above

Question

What is the amplitude of $y=3\sin\left(\frac{x}{5}\right)}$ ?

Answer

For any equation in the form $y=a\sin(bx)$ , the amplitude of the function is equal to $\left | a\right |$ .

In this case, and $b=\frac{1}{5}$ , so our amplitude is .

Compare your answer with the correct one above

Question

What is the amplitude of ?

Answer

The formula for the amplitude of a sine function is from the form:

.

In our function, .

Therefore, the amplitude for this function is .

Compare your answer with the correct one above

Question

Find the amplitude of the following trig function: $y=-2-3sin(2\theta-5)$

Answer

Rewrite $y=-2-3sin(2\theta-5)$ so that it is in the form of:

$y=-3sin(2\theta-5)-2$

The absolute value of is the value of the amplitude.

$\textup{Amplitude= }\left | A\right |= \left | -3\right |=3$

Compare your answer with the correct one above

Question

Find the amplitude of the function.

Answer

For the sine function

where $A\epsilon , \mathbb{R}$

the amplitude is given as $\left | A\right |$ .

As such the amplitude for the given function

is

$\left | 5\right |=5$ .

Compare your answer with the correct one above

Question

Which of the given functions has the greatest amplitude?

Answer

The amplitude of a function is the amount by which the graph of the function travels above and below its midline. When graphing a sine function, the value of the amplitude is equivalent to the value of the coefficient of the sine. Similarly, the coefficient associated with the x-value is related to the function's period. The largest coefficient associated with the sine in the provided functions is 2; therefore the correct answer is $2\sin(x)$ .

The amplitude is dictated by the coefficient of the trigonometric function. In this case, all of the other functions have a coefficient of one or one-half.

Compare your answer with the correct one above

Question

What is the amplitude of $y=3\sin\left(\frac{x}{5}\right)}$ ?

Answer

For any equation in the form $y=a\sin(bx)$ , the amplitude of the function is equal to $\left | a\right |$ .

In this case, and $b=\frac{1}{5}$ , so our amplitude is .

Compare your answer with the correct one above

Question

What is the amplitude of ?

Answer

The formula for the amplitude of a sine function is from the form:

.

In our function, .

Therefore, the amplitude for this function is .

Compare your answer with the correct one above

Question

Find the amplitude of the following trig function: $y=-2-3sin(2\theta-5)$

Answer

Rewrite $y=-2-3sin(2\theta-5)$ so that it is in the form of:

$y=-3sin(2\theta-5)-2$

The absolute value of is the value of the amplitude.

$\textup{Amplitude= }\left | A\right |= \left | -3\right |=3$

Compare your answer with the correct one above

Question

Find the amplitude of the function.

Answer

For the sine function

where $A\epsilon , \mathbb{R}$

the amplitude is given as $\left | A\right |$ .

As such the amplitude for the given function

is

$\left | 5\right |=5$ .

Compare your answer with the correct one above

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Find the Amplitude of a Sine or Cosine Function - Pre-Calculus

Which of the given functions has the greatest amplitude?

What is the amplitude of ?

For any equation in the form , the amplitude of the function is equal to . In this case, and , so our amplitude is .

What is the amplitude of ?

The formula for the amplitude of a sine function is from the form: . In our function, . Therefore, the amplitude for this function is .

Find the amplitude of the following trig function:

Rewrite so that it is in the form of: The absolute value of is the value of the amplitude.

Find the amplitude of the function.

For the sine function where the amplitude is given as . As such the amplitude for the given function is .

Which of the given functions has the greatest amplitude?

What is the amplitude of ?

For any equation in the form , the amplitude of the function is equal to . In this case, and , so our amplitude is .

What is the amplitude of ?

The formula for the amplitude of a sine function is from the form: . In our function, . Therefore, the amplitude for this function is .

Find the amplitude of the following trig function:

Rewrite so that it is in the form of: The absolute value of is the value of the amplitude.

Find the amplitude of the function.

For the sine function where the amplitude is given as . As such the amplitude for the given function is .

Which of the given functions has the greatest amplitude?

What is the amplitude of ?

For any equation in the form , the amplitude of the function is equal to . In this case, and , so our amplitude is .

What is the amplitude of ?

The formula for the amplitude of a sine function is from the form: . In our function, . Therefore, the amplitude for this function is .

Find the amplitude of the following trig function:

Rewrite so that it is in the form of: The absolute value of is the value of the amplitude.

Find the amplitude of the function.

For the sine function where the amplitude is given as . As such the amplitude for the given function is .

Which of the given functions has the greatest amplitude?

What is the amplitude of ?

For any equation in the form , the amplitude of the function is equal to . In this case, and , so our amplitude is .

What is the amplitude of ?

The formula for the amplitude of a sine function is from the form: . In our function, . Therefore, the amplitude for this function is .

Find the amplitude of the following trig function:

Rewrite so that it is in the form of: The absolute value of is the value of the amplitude.

Find the amplitude of the function.

For the sine function where the amplitude is given as . As such the amplitude for the given function is .

What is the amplitude of $y=3\sin\left(\frac{x}{5}\right)}$ ?

For any equation in the form $y=a\sin(bx)$ , the amplitude of the function is equal to $\left | a\right |$ .

In this case, and $b=\frac{1}{5}$ , so our amplitude is .

The formula for the amplitude of a sine function is from the form:

.

In our function, .

Therefore, the amplitude for this function is .

Find the amplitude of the following trig function: $y=-2-3sin(2\theta-5)$

Rewrite $y=-2-3sin(2\theta-5)$ so that it is in the form of:

$y=-3sin(2\theta-5)-2$

The absolute value of is the value of the amplitude.

$\textup{Amplitude= }\left | A\right |= \left | -3\right |=3$

For the sine function

where $A\epsilon , \mathbb{R}$

the amplitude is given as $\left | A\right |$ .

As such the amplitude for the given function

is

$\left | 5\right |=5$ .

What is the amplitude of $y=3\sin\left(\frac{x}{5}\right)}$ ?

For any equation in the form $y=a\sin(bx)$ , the amplitude of the function is equal to $\left | a\right |$ .

In this case, and $b=\frac{1}{5}$ , so our amplitude is .

The formula for the amplitude of a sine function is from the form:

.

In our function, .

Therefore, the amplitude for this function is .

Find the amplitude of the following trig function: $y=-2-3sin(2\theta-5)$

Rewrite $y=-2-3sin(2\theta-5)$ so that it is in the form of:

$y=-3sin(2\theta-5)-2$

The absolute value of is the value of the amplitude.

$\textup{Amplitude= }\left | A\right |= \left | -3\right |=3$

For the sine function

where $A\epsilon , \mathbb{R}$

the amplitude is given as $\left | A\right |$ .

As such the amplitude for the given function

is

$\left | 5\right |=5$ .

What is the amplitude of $y=3\sin\left(\frac{x}{5}\right)}$ ?

For any equation in the form $y=a\sin(bx)$ , the amplitude of the function is equal to $\left | a\right |$ .

In this case, and $b=\frac{1}{5}$ , so our amplitude is .

The formula for the amplitude of a sine function is from the form:

.

In our function, .

Therefore, the amplitude for this function is .

Find the amplitude of the following trig function: $y=-2-3sin(2\theta-5)$

Rewrite $y=-2-3sin(2\theta-5)$ so that it is in the form of:

$y=-3sin(2\theta-5)-2$

The absolute value of is the value of the amplitude.

$\textup{Amplitude= }\left | A\right |= \left | -3\right |=3$

For the sine function

where $A\epsilon , \mathbb{R}$

the amplitude is given as $\left | A\right |$ .

As such the amplitude for the given function

is

$\left | 5\right |=5$ .

What is the amplitude of $y=3\sin\left(\frac{x}{5}\right)}$ ?

For any equation in the form $y=a\sin(bx)$ , the amplitude of the function is equal to $\left | a\right |$ .

In this case, and $b=\frac{1}{5}$ , so our amplitude is .

The formula for the amplitude of a sine function is from the form:

.

In our function, .

Therefore, the amplitude for this function is .

Find the amplitude of the following trig function: $y=-2-3sin(2\theta-5)$

Rewrite $y=-2-3sin(2\theta-5)$ so that it is in the form of:

$y=-3sin(2\theta-5)-2$

The absolute value of is the value of the amplitude.

$\textup{Amplitude= }\left | A\right |= \left | -3\right |=3$

For the sine function

where $A\epsilon , \mathbb{R}$

the amplitude is given as $\left | A\right |$ .

As such the amplitude for the given function

is

$\left | 5\right |=5$ .