What is the general solution for cos(x)= 5/6 ?

The general solution for cos(x)= 5/6 is x=0.58568…+2pin,x=2pi-0.58568…+2pin

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cos(x)= 5/6

cos (x) = \frac{5}{6}

x = 0.58568 \dots + 2 πn, x = 2 π - 0.58568 \dots + 2 πn

Solution steps

cos (x) = \frac{5}{6}

Apply trig inverse properties

x = arccos (\frac{5}{6}) + 2 πn, x = 2 π - arccos (\frac{5}{6}) + 2 πn

Show solutions in decimal form

x = 0.58568 \dots + 2 πn, x = 2 π - 0.58568 \dots + 2 πn

1 - tan^{2} (x) = 0

cos (x) cos (3 x) - sin (x) sin (3 x) = 0

(cot (θ) - 1) (sin (θ) - 1) = 0

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

cos (x) = - sin^{2} (x) - 1

What is the general solution for cos(x)= 5/6 ?
The general solution for cos(x)= 5/6 is x=0.58568…+2pin,x=2pi-0.58568…+2pin