What is the general solution for cos(x)=0.6 ?

The general solution for cos(x)=0.6 is x=0.92729…+2pin,x=2pi-0.92729…+2pin

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cos(x)=0.6

cos (x) = 0.6

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

Degrees

x = 53.13010 \dots^{\circ} + 36 0^{\circ} n, x = 306.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = 0.6

Apply trig inverse properties

cos (x) = 0.6

General solutions for

cos (x) = 0.6

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

x = arccos (0.6) + 2 πn, x = 2 π - arccos (0.6) + 2 πn

x = arccos (0.6) + 2 πn, x = 2 π - arccos (0.6) + 2 πn

Show solutions in decimal form

x = 0.92729 \dots + 2 πn, x = 2 π - 0.92729 \dots + 2 πn

tan (2 x) - 1 = 0

tan (x) = - \frac{1}{3}

cot (3 x) = - \frac{3}{3}, 0 \leq x \leq 2 π

sin (x) - cos (2 x) = 0

csc (x) = - 2

What is the general solution for cos(x)=0.6 ?
The general solution for cos(x)=0.6 is x=0.92729…+2pin,x=2pi-0.92729…+2pin