What is the general solution for cos(x)=0.587 ?

The general solution for cos(x)=0.587 is x=0.94344…+2pin,x=2pi-0.94344…+2pin

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cos(x)=0.587

cos (x) = 0.587

x = 0.94344 \dots + 2 πn, x = 2 π - 0.94344 \dots + 2 πn

Degrees

x = 54.05559 \dots^{\circ} + 36 0^{\circ} n, x = 305.94440 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.587

Apply trig inverse properties

cos (x) = 0.587

General solutions for

cos (x) = 0.587

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

x = arccos (0.587) + 2 πn, x = 2 π - arccos (0.587) + 2 πn

x = arccos (0.587) + 2 πn, x = 2 π - arccos (0.587) + 2 πn

Show solutions in decimal form

x = 0.94344 \dots + 2 πn, x = 2 π - 0.94344 \dots + 2 πn

What is the general solution for cos(x)=0.587 ?
The general solution for cos(x)=0.587 is x=0.94344…+2pin,x=2pi-0.94344…+2pin