Question

solve for t:

0=4sin(2t)cos(2t)-sin(2t)

Answer 1

0 = sin(2t)[4 cos(2t) -1]

There are two possible solutions:
sin(2t) = 0
(which leads to t = 0 or pi/2)
and
cos(2t) = 1/4
which leads to other values of t.
t = (1/2)cos^-1(1/4)

Answer 2

if cos2t=1/4 then t= what??

Answer 3

Cos inverse of 1/4 =2t
So do cos inverse of 1/4=75.52...
So...
75.52...= 2t
Solve for t.
T=37.76..