What is the general solution for sin(x)+sqrt(3)cos(x)=0 ?

The general solution for sin(x)+sqrt(3)cos(x)=0 is x=(2pi)/3+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = \frac{2 π}{3} + πn

Solution steps

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

Rewrite using trig identities

tan (x) + 3 = 0

Move

3

to the right side

tan (x) = - 3

General solutions for

tan (x) = - 3

x = \frac{2 π}{3} + πn

cos^{2} (x) + 2 cos (x) - 3 = 0

cos (θ) = \frac{3}{4}

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

cot (θ) = - 3

4 sin^{2} (x) - 2 = 0

What is the general solution for sin(x)+sqrt(3)cos(x)=0 ?
The general solution for sin(x)+sqrt(3)cos(x)=0 is x=(2pi)/3+pin