Grade 12Mechanics
what is the “law of sines” and “law of cosines” used for calculations in physics?
what is the “law of sines” and “law of cosines” used for calculations in physics?
2 Answers
Arun
Dear student
law of cosine
| c² | = a² + b² - a·sin(B)·b·sin(A) - a·sin(B)·b·sin(A) + 2ab·cos(A)·cos(B) |
| = a² + b² + 2ab(cos(A)cos(B) - sin(A)sin(B)) | |
| = a² + b² + 2ab(cos(A + B)) | |
| = a² + b² + 2ab(cos(180° - C)) | |
| = a² + b² - 2ab(cos(C)) |
Arun
The Law of sin establishes a relationship between the angles and the side lengths of
a/sin(A) = b/sin(B) = c/sin(C).
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