What is the general solution for -cos(x)= 2/(sqrt(20)) ?

The general solution for -cos(x)= 2/(sqrt(20)) is x=2.03444…+2pin,x=-2.03444…+2pin

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-cos(x)= 2/(sqrt(20))

- cos (x) = \frac{2}{20}

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

Solution steps

- cos (x) = \frac{2}{20}

20 = 25

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

Divide the numbers:

\frac{2}{2} = 1

- cos (x) = \frac{1}{5}

Divide both sides by

- 1

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

Apply trig inverse properties

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

tan^{2} (x) + 7 = - 10 sec (x), 0 < x < 2 π

tan (θ) = \frac{14}{11}

tan (3 φ - 4) = - \frac{1}{2}, 0 \leq φ \leq \frac{π}{2}

g, θ = arctan (\frac{5.54}{10 g} + 0.2)

tan (t) = \frac{3}{4}

What is the general solution for -cos(x)= 2/(sqrt(20)) ?
The general solution for -cos(x)= 2/(sqrt(20)) is x=2.03444…+2pin,x=-2.03444…+2pin