What is the general solution for cos^3(x)-1=0 ?

The general solution for cos^3(x)-1=0 is x=2pin

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cos^3(x)-1=0

cos^{3} (x) - 1 = 0

x = 2 πn

Solution steps

cos^{3} (x) - 1 = 0

Solve by substitution

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

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

1.31 sin (3 5^{\circ}) = 2.42 sin (x)

cos (x + 6 0^{\circ}) = \frac{1}{2}

3 cos (θ) = - cos (θ) tan (θ)

cos (2 x) = cos (x) - cos (3 0^{\circ}) [180]

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

What is the general solution for cos^3(x)-1=0 ?
The general solution for cos^3(x)-1=0 is x=2pin