What is the general solution for ((cot(x)-sqrt(3)))/((2sin(x)+1))=0 ?

The general solution for ((cot(x)-sqrt(3)))/((2sin(x)+1))=0 is No Solution for x\in\mathbb{R}

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((cot(x)-sqrt(3)))/((2sin(x)+1))=0

\frac{( cot ( x ) - 3 )}{( 2 sin ( x ) + 1 )} = 0

No Solution for x \in R

Solution steps

\frac{( cot ( x ) - 3 )}{( 2 sin ( x ) + 1 )} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

cot (x) - 3 = 0

Move

3

to the right side

cot (x) = 3

General solutions for

cot (x) = 3

x = \frac{π}{6} + πn

Since the equation is undefined for:

\frac{π}{6} + πn

No Solution for x \in R

sin^{2} (x) + 3 sin (x) - 1 = 0

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

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

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

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

What is the general solution for ((cot(x)-sqrt(3)))/((2sin(x)+1))=0 ?
The general solution for ((cot(x)-sqrt(3)))/((2sin(x)+1))=0 is No Solution for x\in\mathbb{R}