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

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

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sin(t)cos(t)=0

sin (t) cos (t) = 0

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

Solution steps

sin (t) cos (t) = 0

Solving each part separately

sin (t) = 0 or cos (t) = 0

sin (t) = 0 : t = 2 πn, t = π + 2 πn

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

Combine all the solutions

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

6 sin (θ) = 0

sin (\frac{θ}{2}) = - 1

cos (x) = \frac{1.5}{9}

sin (3 x) = \frac{2}{2}, 0 \leq x < 2 π

6 = cot^{2} (x) + 8 cot (x)

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