What is the general solution for tan(x)(cot(x)-sqrt(3))=0 ?

The general solution for tan(x)(cot(x)-sqrt(3))=0 is x= pi/6+pin

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tan(x)(cot(x)-sqrt(3))=0

tan (x) (cot (x) - 3) = 0

x = \frac{π}{6} + πn

Solution steps

tan (x) (cot (x) - 3) = 0

Solving each part separately

tan (x) = 0 or cot (x) - 3 = 0

tan (x) = 0 : x = πn

cot (x) - 3 = 0 : x = \frac{π}{6} + πn

Combine all the solutions

x = πn, x = \frac{π}{6} + πn

Since the equation is undefined for:

πn

x = \frac{π}{6} + πn

sin (5 x) + sin (7 x) = 0, - 9 0^{\circ} \leq x < 9 0^{\circ}

- cos (θ) + 1 = 2 sin^{2} (θ)

arcsin (x) = \frac{3 π}{7}

tan (a) = \frac{3}{4}

3 tan (x) + 3 = 0

What is the general solution for tan(x)(cot(x)-sqrt(3))=0 ?
The general solution for tan(x)(cot(x)-sqrt(3))=0 is x= pi/6+pin