What is the general solution for cos(pi/x)=(sqrt(3))/3 ?

The general solution for cos(pi/x)=(sqrt(3))/3 is x= pi/(0.95531…+2pin),x= pi/(2pi-0.95531…+2pin)

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cos(pi/x)=(sqrt(3))/3

cos (\frac{π}{x}) = \frac{3}{3}

x = \frac{π}{0.95531 \dots + 2 πn}, x = \frac{π}{2 π - 0.95531 \dots + 2 πn}

Solution steps

cos (\frac{π}{x}) = \frac{3}{3}

Apply trig inverse properties

\frac{π}{x} = arccos (\frac{3}{3}) + 2 πn, \frac{π}{x} = 2 π - arccos (\frac{3}{3}) + 2 πn

Solve

\frac{π}{x} = arccos (\frac{3}{3}) + 2 πn : x = \frac{π}{arccos ( \frac{1}{3} ) + 2 πn}; n \neq = - \frac{arccos ( \frac{1}{3} )}{2 π}

Solve

\frac{π}{x} = 2 π - arccos (\frac{3}{3}) + 2 πn : x = \frac{π}{2 π - arccos ( \frac{1}{3} ) + 2 πn}; n \neq = \frac{- 2 π + arccos ( \frac{1}{3} )}{2 π}

x = \frac{π}{arccos ( \frac{1}{3} ) + 2 πn}, x = \frac{π}{2 π - arccos ( \frac{1}{3} ) + 2 πn}

Show solutions in decimal form

x = \frac{π}{0.95531 \dots + 2 πn}, x = \frac{π}{2 π - 0.95531 \dots + 2 πn}

y, arctan (\frac{y}{x}) = ln (x)

- cos (7 4^{\circ}) = cos (θ)

sin (x) = 50

58. 2^{2} = 25. 8^{2} + 33. 4^{2} - 2 (25.8 (33.4)) cos (a)

tan (θ) = - 3, 0 \leq θ \leq 2 π

What is the general solution for cos(pi/x)=(sqrt(3))/3 ?
The general solution for cos(pi/x)=(sqrt(3))/3 is x= pi/(0.95531…+2pin),x= pi/(2pi-0.95531…+2pin)