Question 1132674
x = 2(pi*n -cot^(-1) (sqrt(2)), where n is an element of Z
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Here how to get this answer
:
-cot(x/2) = sqrt(2)
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Multiply both sides by -1 to simplify the equation.
:
cot(x/2) = -sqrt(2)
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Eliminate the cotangent from the left hand side
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Take the inverse cotangent of both sides
:
x/2 = pi * n -cot^(-1)(sqrt(2)) for n an element of Z
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Solve for x
: 
x = 2 * pi * n -2 * cot^(-1)(sqrt(2)) for n an element of Z
:
x = 2 * (pi * n -cot^(-1)(sqrt(2)) for n an element of Z