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

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

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

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

x = 2 πn

Solution steps

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

Solve by substitution

cos (x) = 1, cos (x) = - 2

cos (x) = 1 : x = 2 πn

cos (x) = - 2 :

No Solution

Combine all the solutions

x = 2 πn

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

cos (x) = - 1, 0 \leq x \leq 2 π

sin (x) tan^{2} (x) = sin (x)

sin (θ) cos (3 θ) + cos (θ) sin (3 θ) = 0

19 sin (x) + 9 = sin (x)

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