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

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

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1=cos^3(x)

1 = cos^{3} (x)

x = 2 πn

Solution steps

1 = cos^{3} (x)

Switch sides

cos^{3} (x) = 1

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

sin (θ) = \frac{150 N}{212.6 N} (0.9063)

2 sin^{2} (x) = sin (x), 0 \leq x \leq 2 π

3 sin (x) + 4 = 5 cos (x), [0.2 π]

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

tan^{2} (θ) - 3 sec (θ) = - 3

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