What is the general solution for sin(x)=0,0<= x<2pi ?

The general solution for sin(x)=0,0<= x<2pi is x=0,x=pi

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sin(x)=0,0<= x<2pi

sin (x) = 0, 0 \leq x < 2 π

x = 0, x = π

Degrees

x = 0^{\circ}, x = 18 0^{\circ}

Solution steps

sin (x) = 0, 0 \leq x < 2 π

General solutions for

sin (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}

x = 0 + 2 πn, x = π + 2 πn

x = 0 + 2 πn, x = π + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 0 + 2 πn

0 + 2 πn = 2 πn

x = 2 πn

x = 2 πn, x = π + 2 πn

Solutions for the range

0 \leq x < 2 π

x = 0, x = π

sec^{2} (x) = (3 + 1) tan (x) - 3 + 1

sin (z) = 100

2 cos (x) tan (x) - 1 = 0

2 sec (x) = - 2

cos (a) = \frac{3}{5}

What is the general solution for sin(x)=0,0<= x<2pi ?
The general solution for sin(x)=0,0<= x<2pi is x=0,x=pi