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

Solution steps

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

Apply trig inverse properties

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

sec (x) = 2, 0 \leq x < 2 π

3 cot (θ) - 8 = - 11

2 cos (\frac{π}{4} - x) = 1

sin (θ) = \frac{56}{65}

900 = 400 sin (\frac{2 π t}{365} + \frac{7 π}{8}) + 500

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