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

The general solution for cos(x)= 2/(sqrt(5)) is x=0.46364…+2pin,x=2pi-0.46364…+2pin

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

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

x = 0.46364 \dots + 2 πn, x = 2 π - 0.46364 \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 = 2 π - arccos (\frac{2 5}{5}) + 2 πn

Show solutions in decimal form

x = 0.46364 \dots + 2 πn, x = 2 π - 0.46364 \dots + 2 πn

tan (\frac{x}{2} - \frac{π}{4}) = 3

53 tan (x) + 5 = 0

8 sin^{2} (x) - 6 = 0

2 cot^{2} (x) = 6

sin (x) = 0.3456

What is the general solution for cos(x)= 2/(sqrt(5)) ?
The general solution for cos(x)= 2/(sqrt(5)) is x=0.46364…+2pin,x=2pi-0.46364…+2pin