What is the general solution for cos^2(a)+cos(a)=0 ?

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

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cos^2(a)+cos(a)=0

cos^{2} (a) + cos (a) = 0

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

Solution steps

cos^{2} (a) + cos (a) = 0

Solve by substitution

cos (a) = 0, cos (a) = - 1

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

cos (a) = - 1 : a = π + 2 πn

Combine all the solutions

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

5 tan (x) = - 5

- 2 cos (θ - 1) = 0.5

cos (θ) = \frac{1}{9}

- 33 sin (v) + 3 cos (v) = 32

x, - arctan (y) = arctan (x)

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