In mathematics, the modulus of a real number is its numerical value without regard to its sign. So, for example, 3 is the absolute value of both 3 and −3. When graphing a modulus function, f(|x|), graph the function f(x) ignoring the modulus and simply reflect any values below the x-axis (negative values) so they become positive.
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At the basic level, the modulus of a number or expression is simply the value of the number or of the expression. For a positive number the modulus is the number, for 0 it is 0, and for a negative number, x, it is -x (which is positive).
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The modulus of a number is the units digit of that number in the base of the modulus. For example, counting to 10, modulus 3, we get... 0 01 12 23 04 15 26 07 18 29 010 1 The calculate the modulus of a number, subtract the (integer of the number divided by the modulus) times the modulus. As an expression, this is... Xmod Y = X - integer (X / Y) * Y Note: This works also for negative numbers. -3 mod 5 is 2. Check it, if you want. The result will be correct so long as the integer trunction is towards zero, i.e. the integer of -1.3 is -1, not -2. Most compilers do this correctly. If you are using a compiler such as C, the modulus operator (%) will do this for you... int a;a = 7 % 3; /* 7 mod 3 is 1 *.
I assume that with "modulus" you mean the absolute value. Start by graphing: y = cot x Remove negative values of the function value, since those can't be satisfied by the equation. You will also need to reflect the resulting function along the x-axis.
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