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

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

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

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

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

Solution steps

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

Solve by substitution

cos (x) = 2, cos (x) = 0

cos (x) = 2 :

No Solution

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

Combine all the solutions

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

sin (3 x) cos (x) + cos (3 x) sin (x) = 1

2 sin (x) cos (x) + 2 sin (x) - cos (x) - 1 = 0

sin (θ) tan^{2} (θ) - sin (θ) = 0

sin (x) = \frac{4}{5}, sin (18 0^{\circ} - x)

- 11 cos (x) (22) - 11 sin (x) (8) = - 250

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