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Could you please explain the process.The area S of a triangle is calculated by measuring b, c and A. If there is an error of ∆A in the measuring of A , show that the relative error in area is given by (∆S÷S)=cotA.∆A

Could you please explain the process.The area S of a triangle is calculated by measuring b, c and A. If there is an error of ∆A in the measuring of A , show that the relative error in area is given by (∆S÷S)=cotA.∆A

Grade:12

1 Answers

Eshan
askIITians Faculty 2095 Points
2 years ago
Dear student,

We first need to know the form of the expression used to find the area out. Please provide the relation of S, b,c and A used to calculate the area. Then would take logarithm on both sides and take derivative of each term to find the relative error.

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