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Because that is the way the tan function is defined!

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Q: Why can the value of tan equal any positive real number?
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When is the absolute value of a number equal to itself?

The absolute value of a number equals the number itself if and only if the number is a positive real number (x >= 0 and does not include a nonzero imaginary component).


When is the absolute value of a number equal to the number?

The absolute value of a number equals the number itself if and only if the number is a positive real number (x >= 0 and does not include a nonzero imaginary component).


When is the absolute value of the number equal to the number?

The absolute value of a number equals the number itself if and only if the number is a positive real number (x >= 0 and does not include a nonzero imaginary component).


What is an example of a positive real number?

A real number is any whole number, so -3,-2,-1,0,1,2,9,10,32,45, and 23,405,868 are real numbers. A positive number is any number greater or equal to zero.


Why cant the adsolute value of a number be negtive?

That is because of the way the absolute value is defined. The absolute value of a positive number is positive, the absolute value of a negative number is also positive. The absolute value of zero is zero. Even in the complex numbers, the absolute value is defined in such a way that it is a real and positive number.


What is the range of an absolute value function?

the range is a positive real number


What is the absolute value of -35?

+35 The absolute value of any number is always positive


What is absolute value minus absolute value?

Zero. The absolute value |n| is positive for any real number. Subtracting it from itself is zero.


Is there any way to calculate the absolute value of a complex number that equals a negative number?

Given that absolute values are always positive, and that there is no equivalence between complex numbers and real numbers, I would have to say no, there isn't. The absolute value of a real number is its distance from zero on a number line. Since a distance is always positive, we say the absolute value is always positive. Graphically, a real number is just a point on a number line. The absolute value of a complex number is its distance form the origin in a coordinate plane, where coordinate axes are the x-axis with real numbers, and the y-axis with imaginary numbers. In this diagram, called Argand diagram, a complex number a + bi (where a and b are real numbers) is the point (a, b) or the vector from the origin to the point (a, b). Using the distance formula, the absolute value or the distance of a complex number a + bi is equal to the principal square root of (a2 + b2).


Why is the line x equals 4 is a vertical line?

X doesn't have to equal to 4, it can be equal to any real number really (as in, not i), the really important part is that Y is equal to both Positive and Negative Infinity, just like in a horizontal line Y can be equal to any real number, but, in this case, X has to be equal to both Positive and Negative Infinity.


What number is X000?

If your asking about the value of "X" it can equal to any number of real numbers. But at the end any number of X multiplied by 000 will equal to 0, ; , .-'"""'-. , ; , \\|/ .' '. \|// \-;-/ () () \-;-/ // ; ; \\ //__; :. .; ;__\\ `-----\'.'-.....-'.'/-----' '.'.-.-,_.'.' '( (..-' '-'


What is the range of absolute value functions My teacher said it would be all real numbers. However I thought it would be positive real numbers. Can you explain who is right and why?

The absolute value of a number is positive, so the range is always a positive real number. You are correct. The domain, that is the value before you take the absolute value, is all real numbers, but the range is always positive.