What is the general solution for cos(x)=0.58 ?

The general solution for cos(x)=0.58 is x=0.95206…+2pin,x=2pi-0.95206…+2pin

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cos(x)=0.58

cos (x) = 0.58

x = 0.95206 \dots + 2 πn, x = 2 π - 0.95206 \dots + 2 πn

Solution steps

cos (x) = 0.58

Apply trig inverse properties

x = arccos (0.58) + 2 πn, x = 2 π - arccos (0.58) + 2 πn

Show solutions in decimal form

x = 0.95206 \dots + 2 πn, x = 2 π - 0.95206 \dots + 2 πn

cos (x) = 0.41

cos (x) = 0.42

cos (x) = 0.36

cos (\frac{π}{3} + x) + cos (\frac{π}{3} - x) = \frac{1}{2}

cos (x) = 0.87

What is the general solution for cos(x)=0.58 ?
The general solution for cos(x)=0.58 is x=0.95206…+2pin,x=2pi-0.95206…+2pin