Question

Find all solutions in the interval [0, 2π) (sin x)(cos x) = 0

Answer 1

What class is this?

Answer 2

Is it calculus?

Answer 3

it is pre-calc

Answer 4

Ah ok.

Answer 5

When either term is 0 the whole thing is 0

Answer 6

So it's just the roots of sin AND the roots of cos

Answer 7

This is another case of the zero-product rule.\[x y=0\]if and only if \( x = 0\) or \(y = 0\). So we can have \(\sin(x) = 0\) or \(\cos(x) = 0\).