That is like.........................5/4 from Euler's product........with a s of 1........................and 14i.........because one circle is in the center.................the other 4 are are around it...............5/4 can also be written as 1 + 1/4.................like 14i........

The equation for the r = 1/2 circle..........centered at the origin is x squared + y squared = 1/4.............it is somewhat counterintuitive when dealing with fractions...................1/2 + 1/2 = 1..........two halves make a whole......but when multiplied.........the result is a smaller number.........1/2 * 1/2 = 1/4.....................................the square root of 1/4 is 1/2...............like 14i...................but numerically.....................1/2 is a bigger number........1/2 = 0.5...............while 1/4 is 0.25..........a square root is usually a smaller number than the one u are taking the square root..........like.....the square root of 9 is 3...........the square root of 4 is 2...............................but 1/2 is bigger than 1/4.........................it is easy to see why 1/4 is the term on the right............b/c............just plug in zeros to find the axis intercepts........................1/2 squared is 1/4................for either x and y.........a circle is sym.............in that all points are equidistant from the center.....................

Pythagoras

Pythagoras' Theorem says that for a right angled triangle, the square of the long side equals the sum of the squares of the other two sides:

x² + y² = 1²

But 1² is just 1, so:

x² + y² = 1
(the equation of the unit circle)

Also, since x=cos and y=sin, we get:

(cos(θ))² + (sin(θ))² = 1

a useful "identity"

Important Angles: 30°, 45° and 60°

You should try to remember sin, cos and tan for the angles 30°, 45° and 60°.
Yes, yes, it is a pain to have to remember things, but it will make life easier when you know them, not just in exams, but other times when you need to do quick estimates, etc.

These are the values you should remember!

Angle	Sin	Cos	Tan=Sin/Cos
30°			1 √3 = √3 3
45°			1
60°			√3