What is the general solution for 2+2cos(x)= 2/(1+cos(x)) ?

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

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2+2cos(x)= 2/(1+cos(x))

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

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

Solution steps

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

Solve by substitution

cos (x) = 0, cos (x) = - 2

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

cos (x) = - 2 :

No Solution

Combine all the solutions

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

cos^{2} (θ) + 0.339 cos (θ) - 1 = 0

sin (x) = \frac{2 2}{3}

arctan (θ) = 7 \cdot \frac{540}{15}

k sin (x) - c = 0

cos (x) = sin (x - \frac{π}{2})

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