8sinxcosx=1

I don't know where to go after 2sinxcosx=1/4

2 answers

sin 2 x = 2 sin x cos x = 1/4 = .25

then
2 x = arc sin (.25) which is 14.5 degrees
so
x = 7.25 degrees
sin2x = 1/4
2x = arcsin(1/4)
x = 1/2 arcsin(1/4)

whatever arcsin(1/4) is.
x will be in QI or QIII since sin and cos must have the same sign.