What is the general solution for tan(x/2+pi)+1=0 ?

The general solution for tan(x/2+pi)+1=0 is x=(3pi)/2+2pin-2pi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(x/2+pi)+1=0

tan (\frac{x}{2} + π) + 1 = 0

x = \frac{3 π}{2} + 2 πn - 2 π

Solution steps

tan (\frac{x}{2} + π) + 1 = 0

Move

1

to the right side

tan (\frac{x}{2} + π) = - 1

General solutions for

tan (\frac{x}{2} + π) = - 1

\frac{x}{2} + π = \frac{3 π}{4} + πn

Solve

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

x = \frac{3 π}{2} + 2 πn - 2 π

sin (x + \frac{π}{2}) = 1

cos (x π) = - 1

tan (x) = \frac{2}{- 2}

- 6 cos (2 x) = 0

t, x = 4 cos (t)

What is the general solution for tan(x/2+pi)+1=0 ?
The general solution for tan(x/2+pi)+1=0 is x=(3pi)/2+2pin-2pi