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

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

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cos^2(x)cos(x)=0

cos^{2} (x) cos (x) = 0

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

Solution steps

cos^{2} (x) cos (x) = 0

Simplify

cos^{2} (x) cos (x) : cos^{3} (x)

cos^{3} (x) = 0

Apply rule

x^{n} = 0 \Rightarrow x = 0

cos (x) = 0

General solutions for

cos (x) = 0

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

2 cos (x) = - 3

8 sec (x) - 3 tan^{2} (x) = 7

sin^{2} (6 x) + sin^{2} (3 x) = 0

\frac{1}{( 2 - sin ( x ) )} = sin (x)

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

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