TRIGONOMETRY
PYTHAGORAS IN 570 BC : have found second rule or second eye for science and technology…
No two persons can see an object exactly same or equal.
That is ANGLE – θ . It reflects the percentage of output of machine in all energy forms as continuous function along 360o rotation.
2D angle (plane angle) —- Angle between two lines , it forms area.
units —Radians and degrees.
2ПR = 360o , ПR = 180o , 1R = 57.33o
3D angle (solid angle) —- Angle between group of lines which forms volume.
units —- Steradian.
ex : mobile torch, cinema scope, cone
The minimum number of sides required to form an area is 3.
It has 3 corners , 3 sides, 3 angles. The total angle inside the triangle is 180o.
Pythagoras had given the relation between 3 sides —- that is how much times the long side is equal to remaining two sides. How the large side that is hypotenuse is resolved into 2 other sides namely horizontal (adjacent) and vertical (opposite) sides, that is ratio between any two sides.
In scientific Knowledge: When any physical object is placed on earth with some inclined angle, then the physical quantities of the body can be resolved into two perpendicular components.
The component on earth surface is horizontal component , a component which is perpendicular to earth surface is vertical component.
Examples:
1] A Ladder placed on a wall , it is hypothesis, it resoled the weight of the person .
2]Weight resolved in giant wheel.
3]Weight resolved in pendulum motion.
4]motor bike rider may skid when turning aside.
5]damping of ship in an ocean.
6]electrical and electronic signals passing as sin and cos functions.
7]sound , light can travel as a trigonometric functions.
8]heart pulse reading on computer.
9]walking on steps.
10]inclined trees have it.
hypotenuse2 = adj side2 + opp side2 , when the two side values are changes but the hypotenuse is constant.
