The intensity of a wave varies with the square of the cosine of the angle of incidence. This relationship is known as the cosine squared law. As the angle of incidence increases, the intensity of the wave decreases due to the spreading of energy over a larger area. It is an important concept in understanding how light behaves when interacting with surfaces.
cosine = adjacent/hypotenuse
The law of cosines with a right angle is just the pythagorean theorem. The cosine of 90 degrees is 0. That is why the hypotenuse squared is equal to the sum of both of the legs squared
Even though the cosine of an angle was not a known concept at the time, Euclid (3rd century BC) in Egypt stated and proved a pair of propositions which were equivalent to the law of cosines. One proposition was applicable for obtuse angles and the other to acute angles.
Because it helped find angles in a triangle when only the side lengths were known.
I think you are asking about the law of reflection: The angle at which light hits an object, it reflects off at the same angle i.e. the angle of incidence equals the angle of reflection (The angle between the incident ray and the normal is known as the angle of incidence. The angle between the reflected ray and the normal is known as the angle of reflection)
The relationship between the angle of incidence and the angle of refraction is known as Snell's Law. This law states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the speeds of light in the two different mediums. It describes how light waves change direction when crossing from one medium to another.
It is a mathematical equation that allows you to "solve" a triangle (find all length and angle values), if you know 2 sides and an included angle, or all three sides. It doesn't have to be a right triangle. You can find the cosine on a calculator easily.c2 = a2 + b2- 2ab cos CC = included anglec = side opposite angle C (c)a = side ab = side bThe cosine law relates the length of the sides of a triangle to one of the angles in the triangle. If the triangle is labelled with vertices A, B, C with usual notation for edges (ie a is the side opposite the vertex A, so not touching A) and if x is the angle at vertex C then the cosine law says (c^2)=(a^2)+(b^2)-2abcos(x)
We use the law of cosine: c^2 = a^2 + b^2 - 2abcosC This means that we know the sides a and b, and the angle C between them.
This is known as the law of reflection. According to this law, the angle at which light hits a mirror is equal to the angle at which it reflects off the mirror.
Malus' law describes how the intensity of polarized light changes when it passes through a polarizer. It states that the intensity of light transmitted through a polarizer is equal to the intensity of the incident light times the square of the cosine of the angle between the polarizer's transmission axis and the polarized light.
The angle of reflection is equal to the angle of incidence. This is known as the law of reflection and applies to the reflection of light rays off a surface.