Find all solutions to the equation.

(sin x)(cos x) = 0

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,...}

Question

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

can anyone please help? ;(

anonymous · Answer

$\sin(x)=0$ means $x=0,\pi,2\pi,...$

anonymous · Answer

$\cos(x)=0$ means $x=\frac{\pi}{2},\frac{3\pi}{2},\frac{5\pi}{2},...$

anonymous · Answer

@satellite73 so it will be an a?

anonymous · Answer

taken together, it would be $n\pi$ and $\frac{\pi}{2}+\pi$

anonymous · Answer

no, go with $b$

anonymous · Answer

$\{\frac{\pi}{2}+n\pi, n\pi |n\in \mathbb{Z}\}$

anonymous · Answer

@satellite73 thankyou!!:):)

anonymous · Answer

or if you like $n=0,1,2,...$ but that is not really correct because $n$ could be negative

anonymous · Answer

yw