What is the general solution for cos(x)=(-sqrt(5))/5 ?

The general solution for cos(x)=(-sqrt(5))/5 is x=2.03444…+2pin,x=-2.03444…+2pin

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cos(x)=(-sqrt(5))/5

cos (x) = \frac{- 5}{5}

x = 2.03444 \dots + 2 πn, x = - 2.03444 \dots + 2 πn

Degrees

x = 116.56505 \dots^{\circ} + 36 0^{\circ} n, x = - 116.56505 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{- 5}{5}

Apply the fraction rule:

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

cos (x) = - \frac{5}{5}

Apply trig inverse properties

cos (x) = - \frac{5}{5}

General solutions for

cos (x) = - \frac{5}{5}

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

x = arccos (- \frac{5}{5}) + 2 πn, x = - arccos (- \frac{5}{5}) + 2 πn

x = arccos (- \frac{5}{5}) + 2 πn, x = - arccos (- \frac{5}{5}) + 2 πn

Show solutions in decimal form

x = 2.03444 \dots + 2 πn, x = - 2.03444 \dots + 2 πn

What is the general solution for cos(x)=(-sqrt(5))/5 ?
The general solution for cos(x)=(-sqrt(5))/5 is x=2.03444…+2pin,x=-2.03444…+2pin