What is the general solution for cos(x)=(-2)/7 ?

The general solution for cos(x)=(-2)/7 is x=1.86054…+2pin,x=-1.86054…+2pin

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cos(x)=(-2)/7

cos (x) = \frac{- 2}{7}

x = 1.86054 \dots + 2 πn, x = - 1.86054 \dots + 2 πn

Degrees

x = 106.60154 \dots^{\circ} + 36 0^{\circ} n, x = - 106.60154 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{- 2}{7}

Apply the fraction rule:

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

cos (x) = - \frac{2}{7}

Apply trig inverse properties

cos (x) = - \frac{2}{7}

General solutions for

cos (x) = - \frac{2}{7}

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

x = arccos (- \frac{2}{7}) + 2 πn, x = - arccos (- \frac{2}{7}) + 2 πn

x = arccos (- \frac{2}{7}) + 2 πn, x = - arccos (- \frac{2}{7}) + 2 πn

Show solutions in decimal form

x = 1.86054 \dots + 2 πn, x = - 1.86054 \dots + 2 πn

What is the general solution for cos(x)=(-2)/7 ?
The general solution for cos(x)=(-2)/7 is x=1.86054…+2pin,x=-1.86054…+2pin