What is the general solution for cos(x)=(sqrt(3))/4 ?

The general solution for cos(x)=(sqrt(3))/4 is x=1.12296…+2pin,x=2pi-1.12296…+2pin

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cos(x)=(sqrt(3))/4

cos (x) = \frac{3}{4}

x = 1.12296 \dots + 2 πn, x = 2 π - 1.12296 \dots + 2 πn

Solution steps

cos (x) = \frac{3}{4}

Apply trig inverse properties

x = arccos (\frac{3}{4}) + 2 πn, x = 2 π - arccos (\frac{3}{4}) + 2 πn

Show solutions in decimal form

x = 1.12296 \dots + 2 πn, x = 2 π - 1.12296 \dots + 2 πn

cos^{2} (x) + \frac{3}{2} sin (2 x) = 0

7 cos (2 x) = 7 cos (x)

csc (\frac{θ}{3}) = \frac{2 3}{3}

3 tan (θ) - cot (θ) = 0

sin (\frac{1}{2} x + \frac{π}{6}) = \frac{3}{2}

What is the general solution for cos(x)=(sqrt(3))/4 ?
The general solution for cos(x)=(sqrt(3))/4 is x=1.12296…+2pin,x=2pi-1.12296…+2pin