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

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

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solvefor x,cos(x)= 1/3

solve for

x, 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

cos (θ) = - 0.02

cos^{2} (2 x) = 3 cos (2 x)

cos (θ) = - 0.42

sin (\frac{θ}{2}) + cos (θ) = 1

3 sin (\frac{π}{5} x) = 2

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