What is the general solution for 5cos(x)=3 ?

The general solution for 5cos(x)=3 is x=0.92729…+2pin,x=2pi-0.92729…+2pin

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5cos(x)=3

5 cos (x) = 3

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

5 cos (x) = 3

Divide both sides by

5

5 cos (x) = 3

Divide both sides by

5

\frac{5 cos ( x )}{5} = \frac{3}{5}

Simplify

cos (x) = \frac{3}{5}

cos (x) = \frac{3}{5}

Apply trig inverse properties

cos (x) = \frac{3}{5}

General solutions for

cos (x) = \frac{3}{5}

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

x = arccos (\frac{3}{5}) + 2 πn, x = 2 π - arccos (\frac{3}{5}) + 2 πn

x = arccos (\frac{3}{5}) + 2 πn, x = 2 π - arccos (\frac{3}{5}) + 2 πn

Show solutions in decimal form

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

What is the general solution for 5cos(x)=3 ?
The general solution for 5cos(x)=3 is x=0.92729…+2pin,x=2pi-0.92729…+2pin