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

The general solution for cos(x)=-12/13 is x=2.74680…+2pin,x=-2.74680…+2pin

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cos(x)=-12/13

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

x = 2.74680 \dots + 2 πn, x = - 2.74680 \dots + 2 πn

Solution steps

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

Apply trig inverse properties

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

Show solutions in decimal form

x = 2.74680 \dots + 2 πn, x = - 2.74680 \dots + 2 πn

x, z = arcsin (\frac{x}{y})

7 tan^{2} (θ) - 11 tan (θ) - 4 = - 8 tan (θ)

2 cos^{2} (2 θ) + sin (2 θ) = 1

8 tan (θ) - 54 = 0

3 sin^{2} (x) - 3 = 0

What is the general solution for cos(x)=-12/13 ?
The general solution for cos(x)=-12/13 is x=2.74680…+2pin,x=-2.74680…+2pin