What is the general solution for 4cos(x)+1=3 ?

The general solution for 4cos(x)+1=3 is x= pi/3+2pin,x=(5pi)/3+2pin

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4cos(x)+1=3

4 cos (x) + 1 = 3

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

4 cos (x) + 1 = 3

Move

1

to the right side

4 cos (x) = 2

Divide both sides by

4

cos (x) = \frac{1}{2}

General solutions for

cos (x) = \frac{1}{2}

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

y, x = sin (y)

sin (x) + sin (x) cos (x) = 0

tan (x) = \frac{5}{5}

sin (θ) cos (θ) = 0

csc (θ) = \frac{1}{2}

What is the general solution for 4cos(x)+1=3 ?
The general solution for 4cos(x)+1=3 is x= pi/3+2pin,x=(5pi)/3+2pin