What is the general solution for cos(x)= 1/8 ?

The general solution for cos(x)= 1/8 is x=1.44546…+2pin,x=2pi-1.44546…+2pin

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cos(x)= 1/8

cos (x) = \frac{1}{8}

x = 1.44546 \dots + 2 πn, x = 2 π - 1.44546 \dots + 2 πn

Solution steps

cos (x) = \frac{1}{8}

Apply trig inverse properties

x = arccos (\frac{1}{8}) + 2 πn, x = 2 π - arccos (\frac{1}{8}) + 2 πn

Show solutions in decimal form

x = 1.44546 \dots + 2 πn, x = 2 π - 1.44546 \dots + 2 πn

tan (θ) = 1.5

tan (arcsin (cos (x))) = - 3

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

t, x = 3 cos (t)

tan^{2} (θ) = - \frac{3}{2} sec (θ), 0 \leq θ < 2 π

What is the general solution for cos(x)= 1/8 ?
The general solution for cos(x)= 1/8 is x=1.44546…+2pin,x=2pi-1.44546…+2pin