What is the general solution for tan(4x)+sqrt(3)=0 ?

The general solution for tan(4x)+sqrt(3)=0 is x= pi/6+(pin)/4

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tan(4x)+sqrt(3)=0

tan (4 x) + 3 = 0

x = \frac{π}{6} + \frac{πn}{4}

Solution steps

tan (4 x) + 3 = 0

Move

3

to the right side

tan (4 x) = - 3

General solutions for

tan (4 x) = - 3

4 x = \frac{2 π}{3} + πn

Solve

4 x = \frac{2 π}{3} + πn : x = \frac{π}{6} + \frac{πn}{4}

x = \frac{π}{6} + \frac{πn}{4}

2 sin (x) + 4 = 5

x, z = y sin (4 x)

csc (x) cot (x) = 0

\frac{1}{csc ^{2} ( a )} = 1 - sin^{2} (a)

5 cos (3 x) = - 3

What is the general solution for tan(4x)+sqrt(3)=0 ?
The general solution for tan(4x)+sqrt(3)=0 is x= pi/6+(pin)/4