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

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

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

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

x = π + 2 πn

Solution steps

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

Solve by substitution

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

cos (x) = \frac{3}{2} :

No Solution

cos (x) = - 1 : x = π + 2 πn

Combine all the solutions

x = π + 2 πn

4 cos (t) = 3

(sin (2 x)) sin (x) = cos (x)

4 sin (x) cos (x) - 1 = 0

sin (a) = \frac{2}{5}

2 cot^{2} (x) - 5 csc (x) - 1 = 0

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