What is the general solution for cos(x)=0.42 ?

The general solution for cos(x)=0.42 is x=1.13735…+2pin,x=2pi-1.13735…+2pin

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cos(x)=0.42

cos (x) = 0.42

x = 1.13735 \dots + 2 πn, x = 2 π - 1.13735 \dots + 2 πn

Solution steps

cos (x) = 0.42

Apply trig inverse properties

x = arccos (0.42) + 2 πn, x = 2 π - arccos (0.42) + 2 πn

Show solutions in decimal form

x = 1.13735 \dots + 2 πn, x = 2 π - 1.13735 \dots + 2 πn

cos (x) = 0.36

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

cos (x) = 0.87

sin (2 θ) csc (θ) = 1

cos (x) = - \frac{5}{8}

What is the general solution for cos(x)=0.42 ?
The general solution for cos(x)=0.42 is x=1.13735…+2pin,x=2pi-1.13735…+2pin