What is the general solution for cos(x)= 1/3 ?

The general solution for cos(x)= 1/3 is x=1.23095…+2pin,x=2pi-1.23095…+2pin

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cos(x)= 1/3

cos (x) = \frac{1}{3}

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

Solution steps

cos (x) = \frac{1}{3}

Apply trig inverse properties

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

Show solutions in decimal form

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

tan (x) + 1 = 0

sin (x) = - cos (x)

tan (x) = \frac{1}{3}

sin (x) + 2 sin (x) cos (x) = 0

csc^{2} (x) - 2 = 0

What is the general solution for cos(x)= 1/3 ?
The general solution for cos(x)= 1/3 is x=1.23095…+2pin,x=2pi-1.23095…+2pin