Question

How in laws of refraction of light trigonometry is used???like in the formula :- sin i/sin r=constant...

All the best...​

Answer 1

According to mathematics

sin(any angle)= perpendicular/hypotenuse

In. the pic we have taken two points B and C on incident ray and refracted ray respectively.

Here E and F are points such that OEB =90°

and OFB=90°

O is the point where incident ray touched the surface.

We are taking OE=OF

so here in

Triangle OEB

sin i = BE/OB

Here in front of angle "i"

BE will be perpendicular and OB hypotenuse

and In triangle

OFC

sin r = FC/OC

Here in front of Angle r

the perpendicular will be FC

and hypotenuse Will be OC

so according to Snell's law

sin i = sin r

thanks for asking

Answer 2

Hii friend,

Here is your answer...

First of all there exists two laws for the law of refraction.

(1) The incident ray ,reflected ray and the normal lies in the same plane.

(2)The ratio of sin of incidence and the sin of refraction is normal.

In second law you have to use simple trignometric conditions to verify the laws.

From the diagram incident and refracted rays has the angle (theta).

By trignometric conditions,

Sin (theta) =opposite/hypotenuse

And all those factors will same as given by user"Lord cabin".

Note:-In Snell's law sin is used rather than cos ,because of angle present in opposite sides of the normal.

Hope this helps you a little!!