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Because that is the way the tan function is defined!

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7y ago

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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 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).


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).


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.


If a number is raised to a power of 2 it is?

If a number is raised to a power of 2, it is squared. This operation results in multiplying the number by itself, yielding a product that is always non-negative for real numbers. Squaring a positive number results in a positive value, while squaring zero yields zero, and squaring a negative number also results in a positive value. Thus, the square of any real number is always greater than or equal to zero.


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


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).


What is absolute value minus absolute value?

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


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 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.