What is the general solution for cos(x)= 6/18 ?

The general solution for cos(x)= 6/18 is x=1.23095…+2pin,x=2pi-1.23095…+2pin

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cos(x)= 6/18

cos (x) = \frac{6}{18}

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

Solution steps

cos (x) = \frac{6}{18}

Cancel the common factor:

6

cos (x) = \frac{1}{3}

Apply trig inverse properties

x = arccos (\frac{1}{3}) + 2 πn, x = 2 π - arccos (\frac{1}{3}) + 2 πn

Show solutions in decimal form

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

4 cos (2 x) + 10 sin (x) - 7 = 0

sin^{2} (x) + sin^{2} (x) = cos^{2} (x)

2 sin (2 t) = 0

cos (x) - 0.5 = 0

cos (x) = \frac{6}{14}

What is the general solution for cos(x)= 6/18 ?
The general solution for cos(x)= 6/18 is x=1.23095…+2pin,x=2pi-1.23095…+2pin