What is the general solution for sqrt(5)cot(x/2)=sqrt(5) ?

The general solution for sqrt(5)cot(x/2)=sqrt(5) is x= pi/2+2pin

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sqrt(5)cot(x/2)=sqrt(5)

5 cot (\frac{x}{2}) = 5

x = \frac{π}{2} + 2 πn

Solution steps

5 cot (\frac{x}{2}) = 5

Divide both sides by

5

cot (\frac{x}{2}) = 1

General solutions for

cot (\frac{x}{2}) = 1

\frac{x}{2} = \frac{π}{4} + πn

Solve

\frac{x}{2} = \frac{π}{4} + πn : x = \frac{π}{2} + 2 πn

x = \frac{π}{2} + 2 πn

tan (θ) = \frac{8}{7}

1 - cos (x) = sin (x)

tan (x) = \frac{15}{8}

tan^{2} (x) + 3 sec (x) + 3 = 0

4 cos (x) - 3 sin (x) = 0

What is the general solution for sqrt(5)cot(x/2)=sqrt(5) ?
The general solution for sqrt(5)cot(x/2)=sqrt(5) is x= pi/2+2pin