What is the general solution for sqrt(3)tan(3x)+sqrt(3)=0,0<= x<= 180 ?

The general solution for sqrt(3)tan(3x)+sqrt(3)=0,0<= x<= 180 is x=45,x=105,x=165

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sqrt(3)tan(3x)+sqrt(3)=0,0<= x<= 180

3 tan (3 x) + 3 = 0, 0^{\circ} \leq x \leq 18 0^{\circ}

x = 4 5^{\circ}, x = 10 5^{\circ}, x = 16 5^{\circ}

Solution steps

3 tan (3 x) + 3 = 0, 0^{\circ} \leq x \leq 18 0^{\circ}

Move

3

to the right side

3 tan (3 x) = - 3

Divide both sides by

3

tan (3 x) = - 1

General solutions for

tan (3 x) = - 1

3 x = 13 5^{\circ} + 18 0^{\circ} n

Solve

3 x = 13 5^{\circ} + 18 0^{\circ} n : x = 4 5^{\circ} + \frac{18 0 ^{\circ} n}{3}

x = 4 5^{\circ} + \frac{18 0 ^{\circ} n}{3}

Solutions for the range

0 \leq x \leq 18 0^{\circ}

x = 4 5^{\circ}, x = 10 5^{\circ}, x = 16 5^{\circ}

2 tan (θ) + 4 = tan (θ) + 5

x, sin (x) = \frac{4}{5}

tan (x) = \frac{- 25}{\frac{- 80 - 50}{2}}

4 cos^{2} (A) - 3 = 0

\frac{sin ( 4 2 ^{\circ} )}{6.25} = \frac{sin ( x )}{9}

What is the general solution for sqrt(3)tan(3x)+sqrt(3)=0,0<= x<= 180 ?
The general solution for sqrt(3)tan(3x)+sqrt(3)=0,0<= x<= 180 is x=45,x=105,x=165