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=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 = 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 = 2 πn

Combine all the solutions

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

cos (θ) = - 0.8

- sin (2 x) cos (x) + sin (x) = 0

tan^{2} (x) + 3 tan (x) = - 1

7 sin (x) - 4 = 0

(sin (x) - 2) (cos (x) + 7) = 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=2pin