Question

Find all solutions in the interval [0, 2π).

(sin x)(cos x) = 0

Answer 1

such eqution, is equivalent to these equations:
\[\begin{gathered}
\sin x = 0 \hfill \\
\cos x = 0 \hfill \\
\end{gathered} \]
please solve them

Answer 2

cos = 0 at 90 degrees or pi/2 radians

Answer 3

and sin at 180 degrees

Answer 4

more precisely, we have:
\[\cos x = 0\]
when:
\[x = \frac{\pi }{2},\quad x = \frac{{3\pi }}{2}\]

Answer 5

Hint: theres another value when cos = 0

Answer 6

- what Michelle siad

Answer 7

and:

Answer 8

please keep in mind that the coordinates of a generic point \(P\), on the trigonometric circle, are:
\[P = \left( {\cos \theta ,\sin \theta } \right)\]