What is the general solution for tan(x)-tan(2x)=0 ?

The general solution for tan(x)-tan(2x)=0 is x=pin

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

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

x = πn

Solution steps

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

Rewrite using trig identities

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

Solve by substitution

tan (x) = 0, tan (x) = i, tan (x) = - i

tan (x) = 0 : x = πn

tan (x) = i :

No Solution

tan (x) = - i :

No Solution

Combine all the solutions

x = πn

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

cos (2 x) - 7 cos (x) + 4 = 0

\frac{87.17}{sin ( 12 0 ^{\circ} )} = \frac{40}{sin ( x )}

23 tan (x) - 2 = 0

2 cos (x) 2 = 0

What is the general solution for tan(x)-tan(2x)=0 ?
The general solution for tan(x)-tan(2x)=0 is x=pin