What is the general solution for cos^6(x)+3cos^3(x)-4=0 ?

The general solution for cos^6(x)+3cos^3(x)-4=0 is x=2pin

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cos^6(x)+3cos^3(x)-4=0

cos^{6} (x) + 3 cos^{3} (x) - 4 = 0

x = 2 πn

Solution steps

cos^{6} (x) + 3 cos^{3} (x) - 4 = 0

Solve by substitution

cos (x) = 1 : x = 2 πn

cos (x) = - \frac{1}{2} + i \frac{3}{2} :

No Solution

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

No Solution

Combine all the solutions

x = 2 πn

- sin^{2} (x) = - 1

1 + tan (x) = sec^{2} (x)

4 cosh (2 x) = 4 + sinh (2 x)

∣ sin (x) ∣ = sin (x) + 2

sin (a) = 0.2315

What is the general solution for cos^6(x)+3cos^3(x)-4=0 ?
The general solution for cos^6(x)+3cos^3(x)-4=0 is x=2pin