What is the general solution for solvefor x,sin(x)cos(x)=0 ?

The general solution for solvefor x,sin(x)cos(x)=0 is x=2pin,x=pi+2pin,x= pi/2+2pin,x=(3pi)/2+2pin

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solvefor x,sin(x)cos(x)=0

solve for

x, sin (x) cos (x) = 0

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

Solution steps

sin (x) cos (x) = 0

Solving each part separately

sin (x) = 0 or cos (x) = 0

sin (x) = 0 : x = 2 πn, x = π + 2 πn

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Combine all the solutions

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

\frac{2}{3} = \frac{sin ( 13 5 ^{\circ} )}{sin ( x )}

10 = cos (x)

tan (θ) = \frac{0}{5}

3 tan (x^{2}) - 1 = 0

sin (θ) = \frac{58}{8}

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