What is the general solution for cos(x)=(48.4)/(54.5) ?

The general solution for cos(x)=(48.4)/(54.5) is x=0.47765…+2pin,x=2pi-0.47765…+2pin

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cos(x)=(48.4)/(54.5)

cos (x) = \frac{48.4}{54.5}

x = 0.47765 \dots + 2 πn, x = 2 π - 0.47765 \dots + 2 πn

Degrees

x = 27.36785 \dots^{\circ} + 36 0^{\circ} n, x = 332.63214 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{48.4}{54.5}

Apply trig inverse properties

cos (x) = \frac{48.4}{54.5}

General solutions for

cos (x) = \frac{48.4}{54.5}

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

x = arccos (\frac{48.4}{54.5}) + 2 πn, x = 2 π - arccos (\frac{48.4}{54.5}) + 2 πn

x = arccos (\frac{48.4}{54.5}) + 2 πn, x = 2 π - arccos (\frac{48.4}{54.5}) + 2 πn

Show solutions in decimal form

x = 0.47765 \dots + 2 πn, x = 2 π - 0.47765 \dots + 2 πn

What is the general solution for cos(x)=(48.4)/(54.5) ?
The general solution for cos(x)=(48.4)/(54.5) is x=0.47765…+2pin,x=2pi-0.47765…+2pin