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In a right angle triangle if the lengths of the adjacent or the hypotenuse are known.

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15y ago

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How intensity changes with cosine an cosine square?

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.


When you have a right angle what does the law of cosines reduce to?

cosine = adjacent/hypotenuse


What is the Lambert Cosine Law and how does it relate to the reflection of light?

The Lambert Cosine Law states that the intensity of light reflected off a surface is directly proportional to the cosine of the angle between the incoming light and the surface normal. This law helps to explain how the brightness of a surface changes based on the angle of incidence of light.


When would you use the law of sines or law of cosines instead of a trigonometric ratio?

It is NOT the Law of Sines/Cosine , but the SINE / COSINE Rule. Sine Rule is SinA/a = SinB/b = SinC/c Where 'A' , 'B', and 'C' (Capitals) are the angular values. and 'a', 'b' ,& 'c' (lower case) are the side lengths opposite to the given angle. For Sine Rule, select any two terms, from the three above. This requires known values for any two angles and one side to find the other side. Or any two sides and one angle to find the other angle. Known ; angle , angle side to find a side. or Side, side, angle to find an angle. Think 2angles x 2 sides ; Cosine Rule. is a^(2) = b^(2) + c^(2) - 2bcCosA This requires three known sides to find an angle. or two known sides and an angle to find the third side. Think 1 angle x 3 sides.


Law of cosines with a right angle?

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


When and where was the law of cosines created?

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.


How did thy come up with cosine law?

Because it helped find angles in a triangle when only the side lengths were known.


What is the law flection?

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 law.?

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.


How do you find the other side of an obtuse triangle given 2 sides and 1 angle?

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.


What is the law of cosines?

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)


When light reflects at the same angle that it hit the mirror?

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.