What is the general solution for cos(x)=0.41 ?

The general solution for cos(x)=0.41 is x=1.14834…+2pin,x=2pi-1.14834…+2pin

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cos(x)=0.41

cos (x) = 0.41

x = 1.14834 \dots + 2 πn, x = 2 π - 1.14834 \dots + 2 πn

Degrees

x = 65.79516 \dots^{\circ} + 36 0^{\circ} n, x = 294.20483 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.41

Apply trig inverse properties

cos (x) = 0.41

General solutions for

cos (x) = 0.41

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

x = arccos (0.41) + 2 πn, x = 2 π - arccos (0.41) + 2 πn

x = arccos (0.41) + 2 πn, x = 2 π - arccos (0.41) + 2 πn

Show solutions in decimal form

x = 1.14834 \dots + 2 πn, x = 2 π - 1.14834 \dots + 2 πn

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

sin (2 θ) csc (θ) = 1

What is the general solution for cos(x)=0.41 ?
The general solution for cos(x)=0.41 is x=1.14834…+2pin,x=2pi-1.14834…+2pin