What is the general solution for cos(x)=0.342 ?

The general solution for cos(x)=0.342 is x=1.22175…+2pin,x=2pi-1.22175…+2pin

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cos(x)=0.342

cos (x) = 0.342

x = 1.22175 \dots + 2 πn, x = 2 π - 1.22175 \dots + 2 πn

Degrees

x = 70.00122 \dots^{\circ} + 36 0^{\circ} n, x = 289.99877 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.342

Apply trig inverse properties

cos (x) = 0.342

General solutions for

cos (x) = 0.342

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

x = arccos (0.342) + 2 πn, x = 2 π - arccos (0.342) + 2 πn

x = arccos (0.342) + 2 πn, x = 2 π - arccos (0.342) + 2 πn

Show solutions in decimal form

x = 1.22175 \dots + 2 πn, x = 2 π - 1.22175 \dots + 2 πn

What is the general solution for cos(x)=0.342 ?
The general solution for cos(x)=0.342 is x=1.22175…+2pin,x=2pi-1.22175…+2pin