What is the general solution for 0.8=cos(x) ?

The general solution for 0.8=cos(x) is x=0.64350…+2pin,x=2pi-0.64350…+2pin

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0.8=cos(x)

0.8 = cos (x)

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

Degrees

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 323.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

0.8 = cos (x)

Switch sides

cos (x) = 0.8

Apply trig inverse properties

cos (x) = 0.8

General solutions for

cos (x) = 0.8

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

x = arccos (0.8) + 2 πn, x = 2 π - arccos (0.8) + 2 πn

x = arccos (0.8) + 2 πn, x = 2 π - arccos (0.8) + 2 πn

Show solutions in decimal form

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

What is the general solution for 0.8=cos(x) ?
The general solution for 0.8=cos(x) is x=0.64350…+2pin,x=2pi-0.64350…+2pin