 Please can you give me an example of Law of sines and Law of cosine with answer? vazelinahS 2021-10-29 Answered
Please can you give me an example of Law of sines and Law of cosine with answer?

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Step 1
Given:
Law of sines and law of cosines
Step 2
To determine:
Law of sines and law of cosines with an answer: $$\displaystyle=?$$
Step 3
Solution:
Law of cosines:
It is basically used to calculate the angle(or side length) measurements for triangles other
than right triangles:
Let the sides of the triangle be a, b , c and the included angle is: $$\displaystyle=\alpha$$
Hence,
As per the cosines law:
$$\displaystyle{c}^{{{2}}}={a}^{{{2}}}+{b}^{{{2}}}-{\left({2}{a}{b}\right)}{\cos{\alpha}}$$
So,
Using this law we can easily find the third side;
Step 4
Now:
Law of sines:
It is basically used to find the measure of either angles or the sides of the triangles; This rule is an equation relating the lengths of the sides of the triangle to the sines of its angles; It gives the relationship between the sides and the angles of non-right triangles:
Let a, b and c be the sides of the triangle:
So,
By the law of sines:
$$\displaystyle{\frac{{{\sin{{A}}}}}{{{a}}}}={\frac{{{\sin{{B}}}}}{{{b}}}}={\frac{{{\sin{{C}}}}}{{{c}}}}$$
Where angles A, B and C are the different angles of the triangle.