how to calculate the arccotangent of an angle in matlab

To calculate the arccotangent of an angle in Matlab, we can use the atan function in combination with other trigonometric functions. The arccotangent function is the inverse function of the tangent function, which means that arctan(tan(x)) = x for any valid angle x. Therefore, to calculate the arccotangent of an angle x, we can use the formula arccot(x) = atan(1/x) + pi*sign(x), where sign(x) is the sign function that returns -1 for negative arguments, 1 for positive arguments, and 0 for zero.

Here's how we can write a Matlab function that calculates the arccotangent of an angle:

main.m
function y = arccot(x)
    y = atan(1/x) + pi*sign(x);
end
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We can test this function by computing the arccotangent of some angles:

main.m
>> arccot(1)
ans = 0.7854

>> arccot(sqrt(3))
ans = 0.5236

>> arccot(-2)
ans = 2.6779
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Note that the value returned by the arccot function is in radians. To convert it to degrees, we can use the radtodeg function:

main.m
>> radtodeg(arccot(1))
ans = 45

>> radtodeg(arccot(sqrt(3)))
ans = 30

>> radtodeg(arccot(-2))
ans = -153.4349
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