What is the general solution for cos(x)= 13/19 ?

The general solution for cos(x)= 13/19 is x=0.81727…+2pin,x=2pi-0.81727…+2pin

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cos(x)= 13/19

cos (x) = \frac{13}{19}

x = 0.81727 \dots + 2 πn, x = 2 π - 0.81727 \dots + 2 πn

Solution steps

cos (x) = \frac{13}{19}

Apply trig inverse properties

x = arccos (\frac{13}{19}) + 2 πn, x = 2 π - arccos (\frac{13}{19}) + 2 πn

Show solutions in decimal form

x = 0.81727 \dots + 2 πn, x = 2 π - 0.81727 \dots + 2 πn

0 = 3 cos (2 x)

sin^{2} (x) - 9 cos (x) + 9 = 0

sinh (x) = \frac{8}{15}

cos (x) = \frac{13}{16}

tan^{2} (x) - 4 tan (x) + 3 = 0

What is the general solution for cos(x)= 13/19 ?
The general solution for cos(x)= 13/19 is x=0.81727…+2pin,x=2pi-0.81727…+2pin