What is the general solution for cos^3(x)=-cos^2(x) ?

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

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cos^3(x)=-cos^2(x)

cos^{3} (x) = - cos^{2} (x)

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

Solution steps

cos^{3} (x) = - cos^{2} (x)

Solve by substitution

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

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

cos (x) = - 1 : 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 tan (2 x - π) + 1 = 0

3 sec (2 x) + 2 = 0

e^{t a n (x)} - 2 = 0

32 sec (θ) + 7 = 1

cos (x) + cos^{2} (x) - sin^{2} (x) = 0

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