ajith wrote:harsh.champ wrote:
Anyways for knowledge purposes,Ajith -Can you explain what do you mean by the statement that the equations are inconsistent with the given values.
These equations are inconsistent with the given values, if you have the good values, we could have given a shot at finding A
How do we check for consistency in an equation??Is it similar to unique solns.,infinite solns. and no soln??
Yes It is similar to unique solns.,infinite solns. and no soln
so as to why these equations are inconsistent, square and add them and see it for yourself.
Well taking the square of the 1st equation :- -8 = 2 Cos A+ 9 Sin A
we get 64 = 4 (CosA)^2 + 81(SinA)^2 +36SinA.CosA-(1)
2nd equation we have:-
81 = -2 Sin A + 9 cos A
Thus, 6561 = 4 (SinA)^2 + 81(CosA)^2 -36SinA.CosA -(2)
Adding 1 and 2 , we get that 6642 = 4 + 81 ....Hence the values are inconsistent.
Hey ajith,
I learnt the following technique for determining the consistency:-
Let the coefficients of the equations be a1,b1,c1 and a2,b2,c2 respectively.
Then if a1/a2 (is not equal to) b1/b2 (which is not equal to) c1/c2 we get inconsistent solns.
I guess this is a shorter approach to check the consistency.
It takes time and effort to explain, so if my comment helped you please press Thanks button
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