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

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

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2tan(x)=tan(2x)

2 tan (x) = tan (2 x)

x = πn

Solution steps

2 tan (x) = tan (2 x)

Subtract

tan (2 x)

from both sides

2 tan (x) - tan (2 x) = 0

Rewrite using trig identities

- \frac{2 tan ^{3} ( x )}{1 - tan ^{2} ( x )} = 0

Solve by substitution

tan (x) = 0

tan (x) = 0 : x = πn

Combine all the solutions

x = πn

sin^{2} (θ) = 3 (cos (- θ) + 1)

arctan (x \cdot 10000 π) = 12 6^{\circ}

sin^{2} (x) \cdot cos^{2} (x) = 1

5.8 = 11.8 sin (3.78 \cdot t)

- 1 + sin (x) + 2 sin^{2} (x) = 0

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