Question

Find all solutions to the equation.

(sin x)(cos x) = 0

Answer 1

well, that equation will only be 0 when either one is 0
so cosine is 0 at the 0 and \(\pi \) and \(2 \pi\)
and sine is 0 at \(\cfrac{\pi}{2}, \cfrac{3\pi}{2}\)

Answer 2

Simply find all places where either the sin x or the cos x is "0".

That is:\[\frac{ k \pi }{ 2 }\]where k is any integer

Answer 3

where either is 0 or both are 0, at those angles, your equation is = 0
so just rewrite in a cyclical notation, like tcarroll010 above

Answer 4

my answers are
kπ,
(π/2)+ kπ, kπ
(π/2) + 2kπ
or
(π/2) + kp

Answer 5

To fit the format I gave, you would go with choice #2.

Answer 6

Choice #2 is the same as my answer, but I do like the way I wrote it because of the neat compactness.

Answer 7

All good now, @laxman03 ?

Answer 8

yes thankyou very much.

Answer 9

uw!

Answer 10

Good luck to you in all of your studies and thx for the recognition! @laxman03