What is the general solution for 0=2cos(x)-1 ?

The general solution for 0=2cos(x)-1 is x= pi/3+2pin,x=(5pi)/3+2pin

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0=2cos(x)-1

0 = 2 cos (x) - 1

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

Solution steps

0 = 2 cos (x) - 1

Switch sides

2 cos (x) - 1 = 0

Move

1

to the right side

2 cos (x) = 1

Divide both sides by

2

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

4 sin (2 x) = 2

3 sin^{2} (x) = - 7 sin (x) - 4, 0 \leq x \leq 2 π

sin (- θ) = sin (θ)

4 cos^{2} (x) + 4 cos (x) = 3

sec (2 x) csc (2 x) = 2 csc (2 x)

What is the general solution for 0=2cos(x)-1 ?
The general solution for 0=2cos(x)-1 is x= pi/3+2pin,x=(5pi)/3+2pin