What is the general solution for csc^2(x)+cot(x)=1 ?

The general solution for csc^2(x)+cot(x)=1 is x= pi/2+pin,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)+cot(x)=1

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

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

Solution steps

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

Subtract

1

from both sides

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

Rewrite using trig identities

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

Solve by substitution

cot (x) = 0, cot (x) = - 1

cot (x) = 0 : x = \frac{π}{2} + πn

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

Combine all the solutions

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

cos (θ) = - \frac{1}{6}

arcsin (x) = 1

sin (θ) = \frac{5}{3}

cos (\frac{3 x}{2}) = 0

sec (x) + 1 = tan (x)

What is the general solution for csc^2(x)+cot(x)=1 ?
The general solution for csc^2(x)+cot(x)=1 is x= pi/2+pin,x=(3pi)/4+pin