What is the general solution for cos(x)=(sqrt(5))/3 ?

The general solution for cos(x)=(sqrt(5))/3 is x=0.72972…+2pin,x=2pi-0.72972…+2pin

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cos(x)=(sqrt(5))/3

cos (x) = \frac{5}{3}

x = 0.72972 \dots + 2 πn, x = 2 π - 0.72972 \dots + 2 πn

Degrees

x = 41.81031 \dots^{\circ} + 36 0^{\circ} n, x = 318.18968 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{5}{3}

Apply trig inverse properties

cos (x) = \frac{5}{3}

General solutions for

cos (x) = \frac{5}{3}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{5}{3}) + 2 πn, x = 2 π - arccos (\frac{5}{3}) + 2 πn

x = arccos (\frac{5}{3}) + 2 πn, x = 2 π - arccos (\frac{5}{3}) + 2 πn

Show solutions in decimal form

x = 0.72972 \dots + 2 πn, x = 2 π - 0.72972 \dots + 2 πn

cos (x) = - \frac{7}{8}

tan (x) = - \frac{3}{5}

sin (x) = - cos (2 x)

csc (\frac{π}{24} x) = 1

cos (x) = \frac{6}{18}

What is the general solution for cos(x)=(sqrt(5))/3 ?
The general solution for cos(x)=(sqrt(5))/3 is x=0.72972…+2pin,x=2pi-0.72972…+2pin