What is the general solution for -1-2cos^2(x)+3cos(x)=0 ?

The general solution for -1-2cos^2(x)+3cos(x)=0 is x= pi/3+2pin,x=(5pi)/3+2pin,x=2pin

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-1-2cos^2(x)+3cos(x)=0

- 1 - 2 cos^{2} (x) + 3 cos (x) = 0

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn, x = 2 πn

Solution steps

- 1 - 2 cos^{2} (x) + 3 cos (x) = 0

Solve by substitution

cos (x) = \frac{1}{2}, cos (x) = 1

cos (x) = \frac{1}{2} : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

cos (x) = 1 : x = 2 πn

Combine all the solutions

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn, x = 2 πn

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

sin (x) = - 0.435

sin (θ) = \frac{10 sin ( 10 5 ^{\circ} )}{24.6}

0.175 = 0.34 sin (93.4 x)

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

What is the general solution for -1-2cos^2(x)+3cos(x)=0 ?
The general solution for -1-2cos^2(x)+3cos(x)=0 is x= pi/3+2pin,x=(5pi)/3+2pin,x=2pin