What is the general solution for cos(x)= 4/12 ?

The general solution for cos(x)= 4/12 is x=1.23095…+2pin,x=2pi-1.23095…+2pin

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cos(x)= 4/12

cos (x) = \frac{4}{12}

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

Degrees

x = 70.52877 \dots^{\circ} + 36 0^{\circ} n, x = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{4}{12}

Cancel the common factor:

4

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

\frac{sin ( x )}{2} = \frac{cos ( x )}{3}

4 sin^{2} (θ) - 2 = 0, \frac{π}{2} < θ < \frac{3 π}{2}

9 sin (x) + 6 cos (x) = 10

- 2 cos^{2} (x) - sin (x) + 1 = 0

cos (x) = \frac{4}{21}

What is the general solution for cos(x)= 4/12 ?
The general solution for cos(x)= 4/12 is x=1.23095…+2pin,x=2pi-1.23095…+2pin