Hi there!
To solve, we must use the following trig identity:
sin(u - v) = sin(u)cos(v) - sin(v)cos(u)
We can rewrite the left hand side of the equation as:

Split the fraction:

First fraction reduces to 1:

Simpify each with common arguments:

Answer:

Step-by-step explanation:
we are given the endpoint i.e P and Q of a line segment
we want to figure out the Midpoint of the Line segment
in order to do so we can use Midpoint formula given by

so let

substitute

simplify addition:

simplify division:

hence,
the Midpoint of the line segment is (3,1)
X= -2/5 + y/5 solve for x by simplying both sides of the equation, then isolating the variable