Introduction:
Cosine rule and sine rule help to solve the triangles. It means with minimal information you can find the measures of all the angles and all the sides. In trigonometry the rules of sine and cosine are very useful to solve the triangles and its triangles types.
1. Sine rule.
The sine rule is given by
`a / sin A ` = `b / sin B` =` c / sin C` .
Here a, b, c, are the length of the sides of the triangle ABC which are opposite to the angles A, B, C respectively. So if 3 vaules are known, we can find the remaining 3 unknown values of a triangle.
2. Cosine rules:
The cosine rule is given by:
Cos A = `(b^2 + c^2 ** a^2 )/ (2abc)` ,
Cos B = `(c^2 + a^2 ** b^ 2 )/( 2ca)` ,
Cos C = `(a^ 2 + b^ 2 ** c ^2 )/ (2ab)`
The above formula will help us to solve the triangles with unknowns.
Hope you liked the above explanation. Please leave your comments, if you have any doubts.
Cosine rule and sine rule help to solve the triangles. It means with minimal information you can find the measures of all the angles and all the sides. In trigonometry the rules of sine and cosine are very useful to solve the triangles and its triangles types.
1. Sine rule.
The sine rule is given by
`a / sin A ` = `b / sin B` =` c / sin C` .
Here a, b, c, are the length of the sides of the triangle ABC which are opposite to the angles A, B, C respectively. So if 3 vaules are known, we can find the remaining 3 unknown values of a triangle.
2. Cosine rules:
The cosine rule is given by:
Cos A = `(b^2 + c^2 ** a^2 )/ (2abc)` ,
Cos B = `(c^2 + a^2 ** b^ 2 )/( 2ca)` ,
Cos C = `(a^ 2 + b^ 2 ** c ^2 )/ (2ab)`
The above formula will help us to solve the triangles with unknowns.
Hope you liked the above explanation. Please leave your comments, if you have any doubts.
No comments:
Post a Comment