Question

PLEASE HELP!! THANK YOU!
Which of the following are solutions to the equation sinxcosx = 1/4?
Check all that apply
A. 5(pi)/12 +n(pi)
B. pi/3 + n(pi)/2
C.pi/12 + n(pi)
D. pi/6 + n(pi)/2

i think it might be A , C and possibly D but I'm not sure... please help I've been struggling with this for the past hour and a half

Answer 1

Answers A and C and correct for this equation. 

Answer 2

Recall that 2sinxcosx = sin2x.
Thus, sinxcosx = sin2x/2

So, $\frac{sin2x}{2} = \frac{1}{4}$
$sin2x = \frac{1}{2}$
$2x = \frac{\pi}{6}, \frac{5\pi}{6}$
$x = \frac{\pi}{12}, \frac{5\pi}{12}$

In general form:
$x = \pi n + \frac{\pi}{12}$
$x = \pi n + \frac{5\pi}{12}$