Based on this data, we can make a little triangle that looks like:

This is because .

Now, this means that must equal . (Recall that the cosine function is negative in the second quadrant.) Now, we are looking for:

or . This is the cosine of a reference angle of:

Looking at our little triangle above, we can see that the cosine of is .

Based on this data, we can make a little triangle that looks like:

This is because .

Now, this means that must equal . (Recall that the cosine function is negative in the second quadrant.) Now, we are looking for:

or . This is the cosine of a reference angle of:

Looking at our little triangle above, we can see that the cosine of is .

The function is related to the parent function .

The domain of the parent function is . The values and will not affect the domain of the curve.

The answer is .

The domain of a function refers to all possible values of for which an answer can be obtained. Cosine, as a function, cycles endlessly between and (subject to modifiers of the amplitude). Because there is no real number value that can be inserted into in this case which does not produce a value between and , the domain of cosine is effectively infinite.

Begin by drawing out this scenario using a little right triangle:

We know that the cosine of an angle is equal to the ratio of the side adjacent to that angle to the hypotenuse of the triangle. Thus, for our triangle, we know:

Using your calculator, solve for :

This is . Now, take the decimal portion in order to find the number of inches involved.

Thus, rounded, your answer is feet and inches.

The domain of a function refers to all possible values of for which an answer can be obtained. Cosine, as a function, cycles endlessly between and (subject to modifiers of the amplitude). Because there is no real number value that can be inserted into in this case which does not produce a value between and , the domain of cosine is effectively infinite.

The function is related to the parent function .

The domain of the parent function is . The values and will not affect the domain of the curve.

The answer is .

Begin by drawing out this scenario using a little right triangle:

We know that the cosine of an angle is equal to the ratio of the side adjacent to that angle to the hypotenuse of the triangle. Thus, for our triangle, we know:

Using your calculator, solve for :

This is . Now, take the decimal portion in order to find the number of inches involved.

Thus, rounded, your answer is feet and inches.

The domain of a function refers to all possible values of for which an answer can be obtained. Cosine, as a function, cycles endlessly between and (subject to modifiers of the amplitude). Because there is no real number value that can be inserted into in this case which does not produce a value between and , the domain of cosine is effectively infinite.

Note that adding to the end of the equation changes nothing with respect to domain, as there is no such thing as "infinity plus seven", nor "negative infinity plus seven". The function is still infinite in domain even when shifted up units.

The domain of a function refers to all possible values of for which an answer can be obtained. Cosine, as a function, cycles endlessly between and (subject to modifiers of the amplitude). Because there is no real number value that can be inserted into in this case which does not produce a value between and , the domain of cosine is effectively infinite.

Note that adding to the end of the equation changes nothing with respect to domain, as there is no such thing as "infinity plus seven", nor "negative infinity plus seven". The function is still infinite in domain even when shifted up units.