What is the general solution for tan(x)-3^{1/2}=0 ?

The general solution for tan(x)-3^{1/2}=0 is x=1.04719…+pin

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tan(x)-3^{1/2}=0

tan (x) - 3^{\frac{1}{2}} = 0

x = 1.04719 \dots + πn

Degrees

x = 6 0^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) - 3^{\frac{1}{2}} = 0

Move

3^{\frac{1}{2}}

to the right side

tan (x) - 3^{\frac{1}{2}} = 0

Add

3^{\frac{1}{2}}

to both sides

tan (x) - 3^{\frac{1}{2}} + 3^{\frac{1}{2}} = 0 + 3^{\frac{1}{2}}

Simplify

tan (x) = 3^{\frac{1}{2}}

tan (x) = 3^{\frac{1}{2}}

Apply trig inverse properties

tan (x) = 3^{\frac{1}{2}}

General solutions for

tan (x) = 3^{\frac{1}{2}}

tan (x) = a \Rightarrow x = arctan (a) + πn

x = arctan (3^{\frac{1}{2}}) + πn

x = arctan (3^{\frac{1}{2}}) + πn

Show solutions in decimal form

x = 1.04719 \dots + πn

\frac{1 + ( 2 sin ( x ) )}{( cos ( x ) )} = 0

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

\frac{cot ^{2} ( x )}{2} = 3

sin (x - 3 0^{\circ}) = 0.7

\leq 3 \cdot cos (x) - sin (x) = 0

What is the general solution for tan(x)-3^{1/2}=0 ?
The general solution for tan(x)-3^{1/2}=0 is x=1.04719…+pin