What is the general solution for cos(x)=(2.16)/(3.42) ?

The general solution for cos(x)=(2.16)/(3.42) is x=0.88720…+2pin,x=2pi-0.88720…+2pin

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cos(x)=(2.16)/(3.42)

cos (x) = \frac{2.16}{3.42}

x = 0.88720 \dots + 2 πn, x = 2 π - 0.88720 \dots + 2 πn

Degrees

x = 50.83328 \dots^{\circ} + 36 0^{\circ} n, x = 309.16671 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{2.16}{3.42}

Apply trig inverse properties

cos (x) = \frac{2.16}{3.42}

General solutions for

cos (x) = \frac{2.16}{3.42}

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

x = arccos (\frac{2.16}{3.42}) + 2 πn, x = 2 π - arccos (\frac{2.16}{3.42}) + 2 πn

x = arccos (\frac{2.16}{3.42}) + 2 πn, x = 2 π - arccos (\frac{2.16}{3.42}) + 2 πn

Show solutions in decimal form

x = 0.88720 \dots + 2 πn, x = 2 π - 0.88720 \dots + 2 πn

What is the general solution for cos(x)=(2.16)/(3.42) ?
The general solution for cos(x)=(2.16)/(3.42) is x=0.88720…+2pin,x=2pi-0.88720…+2pin