What is the general solution for 2cos(x)=0.2 ?

The general solution for 2cos(x)=0.2 is x=1.47062…+2pin,x=2pi-1.47062…+2pin

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2cos(x)=0.2

2 cos (x) = 0.2

x = 1.47062 \dots + 2 πn, x = 2 π - 1.47062 \dots + 2 πn

Degrees

x = 84.26082 \dots^{\circ} + 36 0^{\circ} n, x = 275.73917 \dots^{\circ} + 36 0^{\circ} n

Solution steps

2 cos (x) = 0.2

Divide both sides by

2

2 cos (x) = 0.2

Divide both sides by

2

\frac{2 cos ( x )}{2} = \frac{0.2}{2}

Simplify

cos (x) = 0.1

cos (x) = 0.1

Apply trig inverse properties

cos (x) = 0.1

General solutions for

cos (x) = 0.1

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

x = arccos (0.1) + 2 πn, x = 2 π - arccos (0.1) + 2 πn

x = arccos (0.1) + 2 πn, x = 2 π - arccos (0.1) + 2 πn

Show solutions in decimal form

x = 1.47062 \dots + 2 πn, x = 2 π - 1.47062 \dots + 2 πn

cos (a) = - sin (a)

\frac{8}{sin ( 4 5 ^{\circ} )} = \frac{42}{sin ( x )}

sin (x) cos (x) = 3

- 2 cos^{2} (4 x) + 2 sin (4 x) - 1 = 0

cos (θ) = \frac{75}{10}

What is the general solution for 2cos(x)=0.2 ?
The general solution for 2cos(x)=0.2 is x=1.47062…+2pin,x=2pi-1.47062…+2pin