What is the general solution for sqrt(3)cos(1x)=-sin(1x) ?

The general solution for sqrt(3)cos(1x)=-sin(1x) 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(1x)=-sin(1x)

3 cos (1 x) = - sin (1 x)

x = \frac{2 π}{3} + πn

Solution steps

3 cos (1 \cdot x) = - sin (1 \cdot x)

Rewrite using trig identities

- tan (x) = 3

Divide both sides by

- 1

tan (x) = - 3

General solutions for

tan (x) = - 3

x = \frac{2 π}{3} + πn

0 = 3 cos (θ)

1 - 3 sin^{2} (x) = cos^{2} (x) - sin^{2} (x)

sin^{2} (θ) - sin (θ) + 1 = cos^{2} (θ)

1 = l cos (x)

tan (2 x) = cos (2 x), 0 \leq x \leq π

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