What is the general solution for tan(x)(tan(x)+1)=0 ?

The general solution for tan(x)(tan(x)+1)=0 is x=pin,x=(3pi)/4+pin

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tan(x)(tan(x)+1)=0

tan (x) (tan (x) + 1) = 0

x = πn, x = \frac{3 π}{4} + πn

Solution steps

tan (x) (tan (x) + 1) = 0

Solving each part separately

tan (x) = 0 or tan (x) + 1 = 0

tan (x) = 0 : x = πn

tan (x) + 1 = 0 : x = \frac{3 π}{4} + πn

Combine all the solutions

x = πn, x = \frac{3 π}{4} + πn

cos (θ) = sin (2 θ)

θ, tan (θ) = 1

sec (x) csc (x) - 2 csc (x) = 0

csc (3 θ) = 6 sin (3 θ), 0 < θ < 2 π

3 tan (3 θ) - 1 = 0, 0 \leq θ \leq 2 π

What is the general solution for tan(x)(tan(x)+1)=0 ?
The general solution for tan(x)(tan(x)+1)=0 is x=pin,x=(3pi)/4+pin