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}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

((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 = 0

Add

3

to both sides

cot (x) - 3 + 3 = 0 + 3

Simplify

cot (x) = 3

cot (x) = 3

General solutions for

cot (x) = 3

cot (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

x = \frac{π}{6} + πn

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}