The answer is A. After you square root both sides, you have to add 3 to both sides and then divide both sides by 4.
tan2x*cotx - 3 = 0
We know that: tan2x = sin2x/cos2x and cotx = cosx/sinx
==> sin2x/cos2x *cosx/sinx = 3
Now we know that sin2x = 2sinx*cosx
==> 2sinxcosx/cos2x * cosx/sinx = 3
Reduce sinx:
==> 2cos^2 x/ cos2x = 3
Now we know that cos2x = 2cos^2 x-1
==> 2cos^2 x/(2cos^2 x -1) = 3
==> 2cos^2 x = 3(2cos^2 x -1)
==> 2cos^2 x = 6cos^2 x - 3
==> -4cos^2 x= -3
==> 4cos^2 x = 3
==> cos^2 x = 3/4
==> cosx = +-sqrt3/ 2
<span>==> x = pi/6, 5pi/6, 7pi/6, and 11pi/6</span>
Answer:

Step-by-step explanation:
Notice that
.
The diagram already marks
, so we just need to find
.
and
are vertical angles, which means they are equal in measure.
Therefore,

Since there are
on each side of a line, we have the following equation:
.
Plugging in
, we have:
.
Therefore,
.
Answer:
where is the question?
Step-by-step explanation: