What is the general solution for cos(x)=-2/(sqrt(5)) ?

The general solution for cos(x)=-2/(sqrt(5)) is x=2.67794…+2pin,x=-2.67794…+2pin

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cos(x)=-2/(sqrt(5))

cos (x) = - \frac{2}{5}

x = 2.67794 \dots + 2 πn, x = - 2.67794 \dots + 2 πn

Solution steps

cos (x) = - \frac{2}{5}

Simplify

- \frac{2}{5} : - \frac{2 5}{5}

Apply trig inverse properties

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

Show solutions in decimal form

x = 2.67794 \dots + 2 πn, x = - 2.67794 \dots + 2 πn

2 sec (x) - 7 = 0

3 tan^{2} (x) + 5 = 7 sec (x)

cos (x) (2 cos (x) - 3) = 0

cos (θ) = (\frac{sin ( 6 0 ^{\circ} )}{1.28})

4 cos^{2} (x) - 3 cos (x) - 1 = 0

What is the general solution for cos(x)=-2/(sqrt(5)) ?
The general solution for cos(x)=-2/(sqrt(5)) is x=2.67794…+2pin,x=-2.67794…+2pin