What is the general solution for cos(x)=-1/6 ?

The general solution for cos(x)=-1/6 is x=1.73824…+2pin,x=-1.73824…+2pin

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cos(x)=-1/6

cos (x) = - \frac{1}{6}

x = 1.73824 \dots + 2 πn, x = - 1.73824 \dots + 2 πn

Solution steps

cos (x) = - \frac{1}{6}

Apply trig inverse properties

x = arccos (- \frac{1}{6}) + 2 πn, x = - arccos (- \frac{1}{6}) + 2 πn

Show solutions in decimal form

x = 1.73824 \dots + 2 πn, x = - 1.73824 \dots + 2 πn

cos^{2} (x) + 5 sin^{2} (x) = 1

- 1 = - 4 sec (y) - sec^{2} (y) - 5

cos (X) = 0

2 sin^{2} (x) + cos (2 x) = 4 cos^{2} (x)

6 cos (a) + 18 = 0

What is the general solution for cos(x)=-1/6 ?
The general solution for cos(x)=-1/6 is x=1.73824…+2pin,x=-1.73824…+2pin