What is the general solution for cos(x)= 8/13 ?

The general solution for cos(x)= 8/13 is x=0.90792…+2pin,x=2pi-0.90792…+2pin

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cos(x)= 8/13

cos (x) = \frac{8}{13}

x = 0.90792 \dots + 2 πn, x = 2 π - 0.90792 \dots + 2 πn

Degrees

x = 52.02012 \dots^{\circ} + 36 0^{\circ} n, x = 307.97987 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{8}{13}

Apply trig inverse properties

cos (x) = \frac{8}{13}

General solutions for

cos (x) = \frac{8}{13}

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

x = arccos (\frac{8}{13}) + 2 πn, x = 2 π - arccos (\frac{8}{13}) + 2 πn

x = arccos (\frac{8}{13}) + 2 πn, x = 2 π - arccos (\frac{8}{13}) + 2 πn

Show solutions in decimal form

x = 0.90792 \dots + 2 πn, x = 2 π - 0.90792 \dots + 2 πn

What is the general solution for cos(x)= 8/13 ?
The general solution for cos(x)= 8/13 is x=0.90792…+2pin,x=2pi-0.90792…+2pin