What is the general solution for tan(x)(cot(x)+1)=0 ?

The general solution for tan(x)(cot(x)+1)=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 >

tan(x)(cot(x)+1)=0

tan (x) (cot (x) + 1) = 0

x = \frac{3 π}{4} + πn

Solution steps

tan (x) (cot (x) + 1) = 0

Solving each part separately

tan (x) = 0 or cot (x) + 1 = 0

tan (x) = 0 : x = πn

cot (x) + 1 = 0 : x = \frac{3 π}{4} + πn

Combine all the solutions

x = πn, x = \frac{3 π}{4} + πn

Since the equation is undefined for:

πn

x = \frac{3 π}{4} + πn

3 cos (x) - sin (x) = 0

cos (2 x) (cos (2 x) - 3) = 0

csc^{2} (x) = 9

csc^{2} (x) = 3

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

What is the general solution for tan(x)(cot(x)+1)=0 ?
The general solution for tan(x)(cot(x)+1)=0 is x=(3pi)/4+pin