What is the general solution for solvefor x,3=18cos(x) ?

The general solution for solvefor x,3=18cos(x) is x=1.40334…+2pin,x=2pi-1.40334…+2pin

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solvefor x,3=18cos(x)

solve for

x, 3 = 18 cos (x)

x = 1.40334 \dots + 2 πn, x = 2 π - 1.40334 \dots + 2 πn

Solution steps

3 = 18 cos (x)

Switch sides

18 cos (x) = 3

Divide both sides by

18

cos (x) = \frac{1}{6}

Apply trig inverse properties

x = arccos (\frac{1}{6}) + 2 πn, x = 2 π - arccos (\frac{1}{6}) + 2 πn

Show solutions in decimal form

x = 1.40334 \dots + 2 πn, x = 2 π - 1.40334 \dots + 2 πn

x, 2 sin (\frac{π ( x - 2 )}{6}) = 1

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

2 cos (x) = cos^{2} (x) - 1

2 sin (v) csc (v) - csc (v) = 4 sin (v) - 2

2 cos (2 x) = 4 cos (x)

What is the general solution for solvefor x,3=18cos(x) ?
The general solution for solvefor x,3=18cos(x) is x=1.40334…+2pin,x=2pi-1.40334…+2pin