What is the general solution for solvefor x,cos(x)= 2/3 ?

The general solution for solvefor x,cos(x)= 2/3 is x=0.84106…+2pin,x=2pi-0.84106…+2pin

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solvefor x,cos(x)= 2/3

solve for

x, cos (x) = \frac{2}{3}

x = 0.84106 \dots + 2 πn, x = 2 π - 0.84106 \dots + 2 πn

Solution steps

cos (x) = \frac{2}{3}

Apply trig inverse properties

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

Show solutions in decimal form

x = 0.84106 \dots + 2 πn, x = 2 π - 0.84106 \dots + 2 πn

3 sin (x) + 2 = 1.5

3 sec^{2} (x) - 2 tan (x) - 4 = 0

9 sin^{2} (x) - 1 = 0

sin (x) = \frac{1}{3.5}

tan (θ) = 5, 96

What is the general solution for solvefor x,cos(x)= 2/3 ?
The general solution for solvefor x,cos(x)= 2/3 is x=0.84106…+2pin,x=2pi-0.84106…+2pin