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

The general solution for sqrt(3)cos(x)+sin(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 >

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

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

x = \frac{2 π}{3} + πn

Solution steps

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

Rewrite using trig identities

3 + tan (x) = 0

Move

3

to the right side

tan (x) = - 3

General solutions for

tan (x) = - 3

x = \frac{2 π}{3} + πn

3 sec (2 x) = 2

cos^{2} (x) = - \frac{1}{2}

sin (6 x) = - \frac{1}{2}

2 sin^{2} (θ) + 1 = 3 sin (θ)

sin^{2} (x) = \frac{1}{2}, 0 \leq x \leq 2 π

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