What is the general solution for cos(x)= 4/6 ?

The general solution for cos(x)= 4/6 is x=0.84106…+2pin,x=2pi-0.84106…+2pin

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cos(x)= 4/6

cos (x) = \frac{4}{6}

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

Solution steps

cos (x) = \frac{4}{6}

Cancel the common factor:

2

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

2 cot^{2} (x) - 5 = sec^{2} (x) - tan^{2} (x)

9 (1 - sin (θ)) = 9

sin (θ) = \frac{15.226}{10.6}

cos (4 x) - 1 = sin (4 x)

csc^{2} (x) - csc (x) - 20 = 0

What is the general solution for cos(x)= 4/6 ?
The general solution for cos(x)= 4/6 is x=0.84106…+2pin,x=2pi-0.84106…+2pin