What is the general solution for -6sin(6x)=0 ?

The general solution for -6sin(6x)=0 is x=(pin)/3 ,x= pi/6+(pin)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-6sin(6x)=0

- 6 sin (6 x) = 0

x = \frac{πn}{3}, x = \frac{π}{6} + \frac{πn}{3}

Degrees

x = 0^{\circ} + 6 0^{\circ} n, x = 3 0^{\circ} + 6 0^{\circ} n

Solution steps

- 6 sin (6 x) = 0

Divide both sides by

- 6

- 6 sin (6 x) = 0

Divide both sides by

- 6

\frac{- 6 sin ( 6 x )}{- 6} = \frac{0}{- 6}

Simplify

sin (6 x) = 0

sin (6 x) = 0

General solutions for

sin (6 x) = 0

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

6 x = 0 + 2 πn, 6 x = π + 2 πn

6 x = 0 + 2 πn, 6 x = π + 2 πn

Solve

6 x = 0 + 2 πn : x = \frac{πn}{3}

6 x = 0 + 2 πn

0 + 2 πn = 2 πn

6 x = 2 πn

Divide both sides by

6

6 x = 2 πn

Divide both sides by

6

\frac{6 x}{6} = \frac{2 πn}{6}

Simplify

x = \frac{πn}{3}

x = \frac{πn}{3}

Solve

6 x = π + 2 πn : x = \frac{π}{6} + \frac{πn}{3}

6 x = π + 2 πn

Divide both sides by

6

6 x = π + 2 πn

Divide both sides by

6

\frac{6 x}{6} = \frac{π}{6} + \frac{2 πn}{6}

Simplify

x = \frac{π}{6} + \frac{πn}{3}

x = \frac{π}{6} + \frac{πn}{3}

x = \frac{πn}{3}, x = \frac{π}{6} + \frac{πn}{3}

tan (x) = \frac{7}{6}

- 3 arcsin (2 x) = π

3 tan (3 x) = 3

\frac{1}{2} + cos (θ) = 0

(2 cos (x) - 1) (2 sin (x) + 3) = 0

What is the general solution for -6sin(6x)=0 ?
The general solution for -6sin(6x)=0 is x=(pin)/3 ,x= pi/6+(pin)/3