In the previous post we have discussed about How to Find Altitude and In today's session we are going to discuss about The Unit Circle. The unit circle is a mathematical term used to prove many theorems plus has many other applications also. The unit circle is self defined as the word unit or unity is for 1, so the unit circle is nothing but a circle with radius one. According to Cartesian coordinate system, the unit circle is used quite frequently in trigonometry and according to which the unit circle is the circle with radius one and centered at the origin (0, 0) in the Euclidean plane. The unit circle is denoted by S1. If we would generalize this term in higher dimensions, then we call it as the unit sphere.
Another simple way of defining a circle with a radius one is that its center is put on the Euclidean graph where both axes x axis and y axis intersect or cross. And it is a very simple and great way to learn and talk about angles and lengths.
As we all are aware with the term Pythagorean theorem, but for those who do not know the actual sense of the theorem, here is the explanation: if we consider a point (x, y) on the unit circle and let x and y are positive, then x and y will be the lengths of the legs of a right angle triangle whose hypotenuse has length 1. Hence x and y satisfy the equation given by the Pythagorean Theorem: which says the sum of the squares of the lengths of the other two sides of right triangle is equal to the square of hypotenuse length.
x2 + y2 = 1
The above equation says that the reflection of any point (x, y) on the unit circle about x or y axis is also on the unit circle as x2 = (- x2) for all x.
In order to get help in understanding more about the topics: math equations and CBSE books visit online portals
Another simple way of defining a circle with a radius one is that its center is put on the Euclidean graph where both axes x axis and y axis intersect or cross. And it is a very simple and great way to learn and talk about angles and lengths.
As we all are aware with the term Pythagorean theorem, but for those who do not know the actual sense of the theorem, here is the explanation: if we consider a point (x, y) on the unit circle and let x and y are positive, then x and y will be the lengths of the legs of a right angle triangle whose hypotenuse has length 1. Hence x and y satisfy the equation given by the Pythagorean Theorem: which says the sum of the squares of the lengths of the other two sides of right triangle is equal to the square of hypotenuse length.
x2 + y2 = 1
The above equation says that the reflection of any point (x, y) on the unit circle about x or y axis is also on the unit circle as x2 = (- x2) for all x.
In order to get help in understanding more about the topics: math equations and CBSE books visit online portals
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