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Popular >

3|sin(3x)|=0

Solution

3 ∣ sin (3 x) ∣ = 0

Solution

x = \frac{2 πn}{3}, x = \frac{π}{3} + \frac{2 πn}{3}

+1

Solution steps

3 ∣ sin (3 x) ∣ = 0

Divide both sides by

3

∣ sin (3 x) ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

sin (3 x) = 0

General solutions for

sin (3 x) = 0

3 x = 0 + 2 πn, 3 x = π + 2 πn

Solve

3 x = 0 + 2 πn : x = \frac{2 πn}{3}

Solve

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

x = \frac{2 πn}{3}, x = \frac{π}{3} + \frac{2 πn}{3}

Popular Examples

75/125 =(cosh(0.2x))/(cosh(0.4x))

\frac{75}{125} = \frac{cosh ( 0.2 x )}{cosh ( 0.4 x )}

sec(4x)-(2/(sqrt(3)))=0

sec (4 x) - (\frac{2}{3}) = 0

3cos(x)+6=cos(x)+5

3 cos (x) + 6 = cos (x) + 5

cos(x)= 1/3 ,(3pi)/2 <x<2pi

cos (x) = \frac{1}{3}, \frac{3 π}{2} < x < 2 π

(2.68)/(sin(126))=(1.2)/(sin(x))

\frac{2.68}{sin ( 12 6 ^{\circ} )} = \frac{1.2}{sin ( x )}

Frequently Asked Questions (FAQ)

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