What is the general solution for cos(x)=0.123 ?

The general solution for cos(x)=0.123 is x=1.44748…+2pin,x=2pi-1.44748…+2pin

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cos(x)=0.123

cos (x) = 0.123

x = 1.44748 \dots + 2 πn, x = 2 π - 1.44748 \dots + 2 πn

Degrees

x = 82.93472 \dots^{\circ} + 36 0^{\circ} n, x = 277.06527 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.123

Apply trig inverse properties

cos (x) = 0.123

General solutions for

cos (x) = 0.123

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

x = arccos (0.123) + 2 πn, x = 2 π - arccos (0.123) + 2 πn

x = arccos (0.123) + 2 πn, x = 2 π - arccos (0.123) + 2 πn

Show solutions in decimal form

x = 1.44748 \dots + 2 πn, x = 2 π - 1.44748 \dots + 2 πn

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5 cos^{2} (x) - 4 = 0

cos (x) = \frac{1.2}{1.4}

θ, cos (θ) + cos (9 0^{\circ} - θ) = 0

sin (A) - 0.6 \cdot cos (A) = \frac{2.77}{9.8}

What is the general solution for cos(x)=0.123 ?
The general solution for cos(x)=0.123 is x=1.44748…+2pin,x=2pi-1.44748…+2pin