What is the general solution for cos(x)= 6/8 ?

The general solution for cos(x)= 6/8 is x=0.72273…+2pin,x=2pi-0.72273…+2pin

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cos(x)= 6/8

cos (x) = \frac{6}{8}

x = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

Solution steps

cos (x) = \frac{6}{8}

Cancel the common factor:

2

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 = 0.72273 \dots + 2 πn, x = 2 π - 0.72273 \dots + 2 πn

10 sin (a) + 16 = 3 sin (a) + 9

3 sin (x) = 2

(tan (x) + 1) (3 cot (x) - 1) = 0

x, p + 3 q = z + cot (y - 3 x)

4 sin (x) cos (x) = 0

What is the general solution for cos(x)= 6/8 ?
The general solution for cos(x)= 6/8 is x=0.72273…+2pin,x=2pi-0.72273…+2pin