What is the general solution for cos(x)= 13/16 ?

The general solution for cos(x)= 13/16 is x=0.62236…+2pin,x=2pi-0.62236…+2pin

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cos(x)= 13/16

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

x = 0.62236 \dots + 2 πn, x = 2 π - 0.62236 \dots + 2 πn

Solution steps

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

Apply trig inverse properties

x = arccos (\frac{13}{16}) + 2 πn, x = 2 π - arccos (\frac{13}{16}) + 2 πn

Show solutions in decimal form

x = 0.62236 \dots + 2 πn, x = 2 π - 0.62236 \dots + 2 πn

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

sin (x) + sin (3 x) = cos (x)

2 sin^{2} (x) = 3 (1 - cos (x))

cos (x) = 0, 72

θ, cos (θ) = \frac{1}{2}

What is the general solution for cos(x)= 13/16 ?
The general solution for cos(x)= 13/16 is x=0.62236…+2pin,x=2pi-0.62236…+2pin