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

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

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

csc (x) = \frac{9}{17}

tan (Θ) = 1.4

sin (x) = 0.51303

t, y = - y + sin (t) + cos (t)

2 sin (x) = 2 + cos (2 x)

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