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

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

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

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

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

Solution steps

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

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 - 10 sec (x) = 4 - 9 sec (x)

7 = e^{2 s i n (x)} + 3

sin (u) = - 0.9

- \frac{3}{2} = - \frac{1}{2} sec (x)

sin (3 x + 1) = \frac{1}{2}

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