Find all solutions to the equation.

(sin x)(cos x) = 0

Question

Find all solutions to the equation.

(sin x)(cos x) = 0

goformit100 · Answer

@satellite73

campbell_st · Answer

its really a case of when does 

sin(x) = 0

and 

cos(x) = 0

if either one is zero... then the left hand side of the equation is zero

so for 

sin(x) = 0        x = 0, 180 or 360

cos(x) = 0        x = 90, 270

if you need measurements in radians just do the conversions.

campbell_st · Answer

you may need the general solutions as there is no specified domain.

anonymous · Answer

Which one is it? Four choices: a. {npi|n=0,+-1,+-2, ...}, b. {pi/2+npi, npi|n=0,+-1,+-2, ...}, c. {pi/2+2npi|n=0,+-1,+-2, ...}, d. {pi/2+npi|n=0,+-1,+-2, ...}

anonymous · Answer

@cambell_st

zehanz · Answer

sin x = 0 has solutions npi
cos x = 0 thas solutions pi/2 + npi

Combine the two, and you have a solution at n * pi/2.
Appearently, the chioces do not use this and give the two series of solutions as separate series. It is b) then, because it gives all the solutions.

anonymous · Answer

Thanks!

zehanz · Answer

YW!