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

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

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

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

x = π + 2 πn, x = 2 πn

Solution steps

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

Solve by substitution

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

cos (x) = - 1 : x = π + 2 πn

cos (x) = 1 : x = 2 πn

Combine all the solutions

x = π + 2 πn, x = 2 πn

6 sin (2 x) sin (x) = 6 cos (x)

- 3 cos^{2} (θ) + 11 = - 5 sin (θ) + 6

sin (θ) = - 0.45

cos (2 x) = - sin (x)

3 cot (t) - 1 = 0, 0 \leq t \leq 2 π

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