en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2-csc^2(x)=0

Solution

2 - csc^{2} (x) = 0

Solution

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

+1

Solution steps

2 - csc^{2} (x) = 0

Solve by substitution

csc (x) = 2, csc (x) = - 2

csc (x) = 2 : x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

csc (x) = - 2 : x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Combine all the solutions

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn, x = \frac{5 π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Popular Examples

tan(x)=(-3)/(sqrt(3))

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

2arctanh((x-2)/(x+1))=ln(2)

2 arctanh (\frac{x - 2}{x + 1}) = ln (2)

sec(β)=3,(3pi)/2 <β<2pi

sec (β) = 3, \frac{3 π}{2} < β < 2 π

cos(x)=(2.9)/(3.2)

cos (x) = \frac{2.9}{3.2}

sin(θ)=(sqrt(3))/2 ,0<= θ<2pi

sin (θ) = \frac{3}{2}, 0 \leq θ < 2 π

Frequently Asked Questions (FAQ)

What is the general solution for 2-csc^2(x)=0 ?
The general solution for 2-csc^2(x)=0 is x= pi/4+2pin,x=(3pi)/4+2pin,x=(5pi)/4+2pin,x=(7pi)/4+2pin