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

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

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cos(x)(cos(x)+1)=0

cos (x) (cos (x) + 1) = 0

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

Solution steps

cos (x) (cos (x) + 1) = 0

Solving each part separately

cos (x) = 0 or cos (x) + 1 = 0

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

cos (x) + 1 = 0 : x = π + 2 πn

Combine all the solutions

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

3 = 6 sin (θ)

sin (a) = \frac{1}{4}

33 sec (θ) + 4 = - 2

- sin (\frac{x}{2}) + sin (x) = 0

3 sin (2 θ) = 2 cos (2 θ)

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