What is the general solution for cos(x)= 3/30 ?

The general solution for cos(x)= 3/30 is x=1.47062…+2pin,x=2pi-1.47062…+2pin

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cos(x)= 3/30

cos (x) = \frac{3}{30}

x = 1.47062 \dots + 2 πn, x = 2 π - 1.47062 \dots + 2 πn

Degrees

x = 84.26082 \dots^{\circ} + 36 0^{\circ} n, x = 275.73917 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{3}{30}

Cancel the common factor:

3

cos (x) = \frac{1}{10}

Apply trig inverse properties

cos (x) = \frac{1}{10}

General solutions for

cos (x) = \frac{1}{10}

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

x = arccos (\frac{1}{10}) + 2 πn, x = 2 π - arccos (\frac{1}{10}) + 2 πn

x = arccos (\frac{1}{10}) + 2 πn, x = 2 π - arccos (\frac{1}{10}) + 2 πn

Show solutions in decimal form

x = 1.47062 \dots + 2 πn, x = 2 π - 1.47062 \dots + 2 πn

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What is the general solution for cos(x)= 3/30 ?
The general solution for cos(x)= 3/30 is x=1.47062…+2pin,x=2pi-1.47062…+2pin