What is the general solution for cos(x)= 12/13 ?

The general solution for cos(x)= 12/13 is x=0.39479…+2pin,x=2pi-0.39479…+2pin

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cos(x)= 12/13

cos (x) = \frac{12}{13}

x = 0.39479 \dots + 2 πn, x = 2 π - 0.39479 \dots + 2 πn

Solution steps

cos (x) = \frac{12}{13}

Apply trig inverse properties

x = arccos (\frac{12}{13}) + 2 πn, x = 2 π - arccos (\frac{12}{13}) + 2 πn

Show solutions in decimal form

x = 0.39479 \dots + 2 πn, x = 2 π - 0.39479 \dots + 2 πn

cos (x) (2 sin (x) + 1) = 0

cos (y) = 0

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

3 cos^{2} (θ) + 2 sin (θ) - 1 = 0

2 sin^{2} (θ) - 3 sin (θ) - 2 = 0

What is the general solution for cos(x)= 12/13 ?
The general solution for cos(x)= 12/13 is x=0.39479…+2pin,x=2pi-0.39479…+2pin