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

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

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cos(x)=0.8

cos (x) = 0.8

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

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

cos (θ) = \frac{3}{7}

1 - 2 cos (x) = 0

2 cos^{2} (θ) - cos (θ) - 1 = 0

cos^{2} (x) + sin (x) + 1 = 0

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

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