What is the general solution for cos(x)= 1/4 ?

The general solution for cos(x)= 1/4 is x=1.31811…+2pin,x=2pi-1.31811…+2pin

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cos(x)= 1/4

cos (x) = \frac{1}{4}

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

Degrees

x = 75.52248 \dots^{\circ} + 36 0^{\circ} n, x = 284.47751 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{1}{4}

Apply trig inverse properties

cos (x) = \frac{1}{4}

General solutions for

cos (x) = \frac{1}{4}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

x = arccos (\frac{1}{4}) + 2 πn, x = 2 π - arccos (\frac{1}{4}) + 2 πn

x = arccos (\frac{1}{4}) + 2 πn, x = 2 π - arccos (\frac{1}{4}) + 2 πn

Show solutions in decimal form

x = 1.31811 \dots + 2 πn, x = 2 π - 1.31811 \dots + 2 πn

cot (\frac{3 π}{4})

csc (12 0^{\circ})

cot (θ) - 3 = 0

sin (4 0^{\circ})

2 cos (x + \frac{π}{6}) = 1, 0 < x < 2 π

What is the general solution for cos(x)= 1/4 ?
The general solution for cos(x)= 1/4 is x=1.31811…+2pin,x=2pi-1.31811…+2pin