What is the general solution for cos(pi/x)=0 ?

The general solution for cos(pi/x)=0 is x= 2/(1+4n),x= 2/(3+4n);\quad n\ne-1/4 ,n\ne-3/4

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cos(pi/x)=0

cos (\frac{π}{x}) = 0

x = \frac{2}{1 + 4 n}, x = \frac{2}{3 + 4 n}; n \neq = - \frac{1}{4}, n \neq = - \frac{3}{4}

Solution steps

cos (\frac{π}{x}) = 0

General solutions for

cos (\frac{π}{x}) = 0

\frac{π}{x} = \frac{π}{2} + 2 πn, \frac{π}{x} = \frac{3 π}{2} + 2 πn

Solve

\frac{π}{x} = \frac{π}{2} + 2 πn : x = \frac{2}{1 + 4 n}; n \neq = - \frac{1}{4}

Solve

\frac{π}{x} = \frac{3 π}{2} + 2 πn : x = \frac{2}{3 + 4 n}; n \neq = - \frac{3}{4}

x = \frac{2}{1 + 4 n}, x = \frac{2}{3 + 4 n}; n \neq = - \frac{1}{4}, n \neq = - \frac{3}{4}

tan^{2} (θ) - 4 sec (θ) = - 5

tan (θ) = \frac{5}{6}

sin (3 x) cos (2 x) + cos (3 x) sin (2 x) = 1

tan^{2} (θ) + 4 tan (θ) = 3

3 cot (θ) + 7 = 0

What is the general solution for cos(pi/x)=0 ?
The general solution for cos(pi/x)=0 is x= 2/(1+4n),x= 2/(3+4n);\quad n\ne-1/4 ,n\ne-3/4