Answer:
Step-by-step explanation:
(a)
Consider the following:
Use sine rule,
Again consider,
Thus, the angle B is function of A is,
Now find
Differentiate implicitly the function with respect to A to get,
b)
When , the value of is,
c)
In general, the linear approximation at x= a is,
Here the function
At
And,
from part b
Therefore, the linear approximation at is,
d)
Use part (c), when , B is approximately,