What is the general solution for cos(x)=0.45 ?

The general solution for cos(x)=0.45 is x=1.10403…+2pin,x=2pi-1.10403…+2pin

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cos(x)=0.45

cos (x) = 0.45

x = 1.10403 \dots + 2 πn, x = 2 π - 1.10403 \dots + 2 πn

Degrees

x = 63.25631 \dots^{\circ} + 36 0^{\circ} n, x = 296.74368 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.45

Apply trig inverse properties

cos (x) = 0.45

General solutions for

cos (x) = 0.45

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

x = arccos (0.45) + 2 πn, x = 2 π - arccos (0.45) + 2 πn

x = arccos (0.45) + 2 πn, x = 2 π - arccos (0.45) + 2 πn

Show solutions in decimal form

x = 1.10403 \dots + 2 πn, x = 2 π - 1.10403 \dots + 2 πn

cos (x) = 0.78

cos (x) = 0.12

0 = cos (3 θ)

6 sin (θ) + 6 = 0

cosh (z) = - 2

What is the general solution for cos(x)=0.45 ?
The general solution for cos(x)=0.45 is x=1.10403…+2pin,x=2pi-1.10403…+2pin