What is the general solution for cos(x)=-2/3 ?

The general solution for cos(x)=-2/3 is x=2.30052…+2pin,x=-2.30052…+2pin

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cos(x)=-2/3

cos (x) = - \frac{2}{3}

x = 2.30052 \dots + 2 πn, x = - 2.30052 \dots + 2 πn

Degrees

x = 131.81031 \dots^{\circ} + 36 0^{\circ} n, x = - 131.81031 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = - \frac{2}{3}

Apply trig inverse properties

cos (x) = - \frac{2}{3}

General solutions for

cos (x) = - \frac{2}{3}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

x = arccos (- \frac{2}{3}) + 2 πn, x = - arccos (- \frac{2}{3}) + 2 πn

x = arccos (- \frac{2}{3}) + 2 πn, x = - arccos (- \frac{2}{3}) + 2 πn

Show solutions in decimal form

x = 2.30052 \dots + 2 πn, x = - 2.30052 \dots + 2 πn

10 cos^{2} (x) + 5 cos (x) - 5 = 0

2 sin (x) = - 3

3 sec (θ) - 2 = 0

4 cos (x) = 1

sin^{4} (x) = \frac{( cos ^{2} ( x ) )}{2}

What is the general solution for cos(x)=-2/3 ?
The general solution for cos(x)=-2/3 is x=2.30052…+2pin,x=-2.30052…+2pin