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

The general solution for cos(x)= 1/(sqrt(3)) is x=0.95531…+2pin,x=2pi-0.95531…+2pin

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cos(x)= 1/(sqrt(3))

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

x = 0.95531 \dots + 2 πn, x = 2 π - 0.95531 \dots + 2 πn

Solution steps

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

Simplify

\frac{1}{3} : \frac{3}{3}

Apply trig inverse properties

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

Show solutions in decimal form

x = 0.95531 \dots + 2 πn, x = 2 π - 0.95531 \dots + 2 πn

sin (x) cos (x) = \frac{3}{4}, 0 \leq x \leq 2 π

2 cos^{2} (x) + sin (x) - 1 = 0, 0 \leq x < 2 π

cot (x) = - 1, 0 \leq x \leq 2 π

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

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

What is the general solution for cos(x)= 1/(sqrt(3)) ?
The general solution for cos(x)= 1/(sqrt(3)) is x=0.95531…+2pin,x=2pi-0.95531…+2pin