We can imagine the given equation cos2 x + sin2 x = 1 to
be in the form of the hypotenuse equation.
Where cos x and sin x is the base and height of the
triangle and 1 is the hypotenuse.
Since 1 is the hypotenuse, it also indicates to the radius
of the circle. Supposing that the center of the circle is at the origin, then
at all values of x (at all values of the angle), the radius of the circle will
always be the same which is equal to 1.
Therefore the equation cos2 x + sin2 x = 1 holds to be
true for all values of x for a unit circle.
