Answer:
Step-by-step explanation:
By geometric mean property:
By Pythagoras Theorem:

The midpoint of the segment is the answer
Answer:
See below.
Step-by-step explanation:
We know that the equation
is a true equation for a particular value of x.
Now, let's see what happens if we divide everything by 4. In other words:

Divide:

So, we get
.
When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the <em>same thing to both sides of the equation. </em>
Therefore,
is also true for the same value of x because it is just a simplified version of
.
First we solve this equation:
x = cos^-1(0) = pi/2 and 3pi/2
Now, this is the answer for angles between 0 and 2pi
but there are "negative angles" and angles larger than 2pi
so the general solution that includes all of these cases is:
x = pi/2 + n*pi
here n is any integer.