What is the general solution for tan^2(x)=2tan(x)+2tan^3(x) ?

The general solution for tan^2(x)=2tan(x)+2tan^3(x) is x=pin

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tan^2(x)=2tan(x)+2tan^3(x)

tan^{2} (x) = 2 tan (x) + 2 tan^{3} (x)

x = πn

Solution steps

tan^{2} (x) = 2 tan (x) + 2 tan^{3} (x)

Solve by substitution

tan (x) = 0, tan (x) = \frac{1}{4} + i \frac{15}{4}, tan (x) = \frac{1}{4} - i \frac{15}{4}

tan (x) = 0 : x = πn

tan (x) = \frac{1}{4} + i \frac{15}{4} :

No Solution

tan (x) = \frac{1}{4} - i \frac{15}{4} :

No Solution

Combine all the solutions

x = πn

t, cos (wt + k) = \frac{20}{( 2 \cdot π \cdot f ) ^{2}}

0 = - cos (x) (2 sin (x) + 3)

28 cos (t) = 20, 0^{\circ} \leq t < 36 0^{\circ}

8 tan (\frac{x}{2}) + 8 cos (x) tan (\frac{x}{2}) = 1

sin (a) = 0.5937

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