What is the general solution for csc^2(x)+2cot(x)=0 ?

The general solution for csc^2(x)+2cot(x)=0 is x=(3pi)/4+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

csc^2(x)+2cot(x)=0

csc^{2} (x) + 2 cot (x) = 0

x = \frac{3 π}{4} + πn

Solution steps

csc^{2} (x) + 2 cot (x) = 0

Rewrite using trig identities

1 + cot^{2} (x) + 2 cot (x) = 0

Solve by substitution

cot (x) = - 1

cot (x) = - 1 : x = \frac{3 π}{4} + πn

Combine all the solutions

x = \frac{3 π}{4} + πn

2 sin (x) tan (x) - tan (x) = 1 - 2 sin (x)

tan (θ) = \frac{2 3}{3} sin (θ)

tan (4 x) = - 1

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

sin (2 x) + 3 sin (x) = 0

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