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

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

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0.6=cos(x)

0.6 = cos (x)

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

0.6 = cos (x)

Switch sides

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

3 tan^{3} (x) - 1 = 0

- 2 csc^{2} (2 x) = 0

1 - cos (θ) = 3 sin (θ)

tan^{2} (x) = 5 sin^{2} (x)

2 sin^{2} (x) - sin (2 x) = 0

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