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

The general solution for csc^2(θ)+2cot(θ)=0 is θ=(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(θ)+2cot(θ)=0

csc^{2} (θ) + 2 cot (θ) = 0

θ = \frac{3 π}{4} + πn

Solution steps

csc^{2} (θ) + 2 cot (θ) = 0

Rewrite using trig identities

1 + cot^{2} (θ) + 2 cot (θ) = 0

Solve by substitution

cot (θ) = - 1

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

Combine all the solutions

θ = \frac{3 π}{4} + πn

sin (x) cos (x) = - 10 cos (x)

tan^{2} (2 x) = 1

8 cos (x) tan (x) = tan (x)

tan (θ) = - \frac{5}{3}

7 sec (x) csc (x) = 14 csc (x)

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