What is the general solution for sqrt(3)tan(4x)+1=0 ?

The general solution for sqrt(3)tan(4x)+1=0 is x=(5pi}{24}+\frac{pin)/4

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sqrt(3)tan(4x)+1=0

3 tan (4 x) + 1 = 0

x = \frac{5 π}{24} + \frac{πn}{4}

Solution steps

3 tan (4 x) + 1 = 0

Move

1

to the right side

3 tan (4 x) = - 1

Divide both sides by

3

tan (4 x) = - \frac{3}{3}

General solutions for

tan (4 x) = - \frac{3}{3}

4 x = \frac{5 π}{6} + πn

Solve

4 x = \frac{5 π}{6} + πn : x = \frac{5 π}{24} + \frac{πn}{4}

x = \frac{5 π}{24} + \frac{πn}{4}

cos (2 x - \frac{3 π}{4}) + \frac{1}{2} = 0

2 sin (x - \frac{π}{3}) + 2 = 0

sin^{2} (θ) + 3 = 2 cos^{2} (θ) + 4 sin (θ)

2 cos (2 x) + 3 = 4 cos (x)

sin (θ) = \frac{1}{4}, cos (θ)

What is the general solution for sqrt(3)tan(4x)+1=0 ?
The general solution for sqrt(3)tan(4x)+1=0 is x=(5pi}{24}+\frac{pin)/4