What is the general solution for sin(X)=0 ?

The general solution for sin(X)=0 is X=2pin,X=pi+2pin

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sin(X)=0

sin (X) = 0

X = 2 πn, X = π + 2 πn

Degrees

X = 0^{\circ} + 36 0^{\circ} n, X = 18 0^{\circ} + 36 0^{\circ} n

Solution steps

sin (X) = 0

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

3 sec (x) = - 6

x, cos (x + x y) = 2

tan (a) = - 1

cos^{2} (x) + 2 cos (x) = - 1

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

What is the general solution for sin(X)=0 ?
The general solution for sin(X)=0 is X=2pin,X=pi+2pin