What is the general solution for sin(pix)+cos(pix)=0 ?

The general solution for sin(pix)+cos(pix)=0 is x= 3/4+n

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(pix)+cos(pix)=0

sin (π x) + cos (π x) = 0

x = \frac{3}{4} + n

Solution steps

sin (π x) + cos (π x) = 0

Rewrite using trig identities

tan (π x) + 1 = 0

Move

1

to the right side

tan (π x) = - 1

General solutions for

tan (π x) = - 1

π x = \frac{3 π}{4} + πn

Solve

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

x = \frac{3}{4} + n

cos (θ) sin (θ) - 4 cos (θ) = 0

sec (x) sin (x) = 2 sin (x)

cot (A) - 1 = 0

tan^{2} (x) = - 3

cot^{2} (x) = 3 cot (x)

What is the general solution for sin(pix)+cos(pix)=0 ?
The general solution for sin(pix)+cos(pix)=0 is x= 3/4+n