WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!
Find all solutions in the interval [0, 2π).

(sin x)(cos x) = 0

A. pi divided by two, π
B. 0, pi divided by two, π, three pi divided by two
C. π, three pi divided by two
D. 0, three pi divided by two

Respuesta :

I think it would be A but I’m not sure. Sorry if it’s wrong

Answer: B

Step-by-step explanation:

(sinx)(cosx) = 0

Set each factor equal to zero and solve:

sinx = 0

cosx = 0

Now, look at the Unit circle to see when this occurs:

sin x = 0 at: 0π and π

cos x = 0 at: [tex]\frac{\pi}{2}[/tex] and [tex]\frac{3\pi}{2}[/tex]

x = 0π, [tex]\frac{\pi}{2}[/tex], π, [tex]\frac{3\pi}{2}[/tex]