What is the general solution for cos(x)= 2/8 ?

The general solution for cos(x)= 2/8 is x=1.31811…+2pin,x=2pi-1.31811…+2pin

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cos(x)= 2/8

cos (x) = \frac{2}{8}

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

Solution steps

cos (x) = \frac{2}{8}

Cancel the common factor:

2

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

Apply trig inverse properties

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

y, x = 4 sin (2 y)

cos^{2} (x) - \frac{5}{2} cos (x) - \frac{3}{2} = 0

x, sin (4 x) = \frac{1}{2}

sec (2 x - 1 0^{\circ}) = csc (5 0^{\circ})

7 sec (x) - 7 = 0, 0 \leq x \leq 2 π

What is the general solution for cos(x)= 2/8 ?
The general solution for cos(x)= 2/8 is x=1.31811…+2pin,x=2pi-1.31811…+2pin