What is the general solution for cos(x)=(-8)/9 ?

The general solution for cos(x)=(-8)/9 is x=2.66571…+2pin,x=-2.66571…+2pin

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cos(x)=(-8)/9

cos (x) = \frac{- 8}{9}

x = 2.66571 \dots + 2 πn, x = - 2.66571 \dots + 2 πn

Degrees

x = 152.73395 \dots^{\circ} + 36 0^{\circ} n, x = - 152.73395 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{- 8}{9}

Apply the fraction rule:

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

cos (x) = - \frac{8}{9}

Apply trig inverse properties

cos (x) = - \frac{8}{9}

General solutions for

cos (x) = - \frac{8}{9}

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

x = arccos (- \frac{8}{9}) + 2 πn, x = - arccos (- \frac{8}{9}) + 2 πn

x = arccos (- \frac{8}{9}) + 2 πn, x = - arccos (- \frac{8}{9}) + 2 πn

Show solutions in decimal form

x = 2.66571 \dots + 2 πn, x = - 2.66571 \dots + 2 πn

cos (x) = \frac{6}{7 76}

2 sin (φ) - 1 = 0

sin (x - 2 0^{\circ}) = cos (x)

x, z = sin^{2} (x - 2 π y)

sin (θ) = \frac{3}{3 5}

What is the general solution for cos(x)=(-8)/9 ?
The general solution for cos(x)=(-8)/9 is x=2.66571…+2pin,x=-2.66571…+2pin