What is the general solution for cos(x)= 4/30 ?

The general solution for cos(x)= 4/30 is x=1.43706…+2pin,x=2pi-1.43706…+2pin

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cos(x)= 4/30

cos (x) = \frac{4}{30}

x = 1.43706 \dots + 2 πn, x = 2 π - 1.43706 \dots + 2 πn

Solution steps

cos (x) = \frac{4}{30}

Cancel the common factor:

2

cos (x) = \frac{2}{15}

Apply trig inverse properties

x = arccos (\frac{2}{15}) + 2 πn, x = 2 π - arccos (\frac{2}{15}) + 2 πn

Show solutions in decimal form

x = 1.43706 \dots + 2 πn, x = 2 π - 1.43706 \dots + 2 πn

t, x = sin (2 t) + 1

cos (x) = \frac{4}{35}

tan (x) = \frac{11}{13}

0.04 = 0.08 sin (x)

tan (x) = \frac{11}{18}

What is the general solution for cos(x)= 4/30 ?
The general solution for cos(x)= 4/30 is x=1.43706…+2pin,x=2pi-1.43706…+2pin