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Consider the following diagram: Let M be the slope of the straight line PQ then M = Also M = Since both are the value of the slope M then [
The function f(x) takes the following values:
Using linear interpolation find the value of 2.2.
From the table above 2.2 is found between 2 and 3, f (2) and f (3) then from the formula F (b) = 0.25, F (a) = 0.33, b = 3, a= 2 and c is the given number that is 2.2 so we need to find F (2.2), By substitution from the formula F (2.2) = 0.314.
Given that e
From the question x = 1.25 and 1.26 then in the table will be
From the above 1.257 lies between 1.25 and 1.26 then using the formula F (b) = 3.5254, F (a) = 3.4903, a = 1.25, b= 1.26 and c is the given number that is 1.257 then we need to find F (1.257). By substitution in the linear interpolation the answer will be 3.5149 There fore
If sin 35˚ = 0.5736 and sin 40˚ = 0.6428 find sin 37˚ by using linear interpolation.
37˚ lies between 35˚ and 40˚ then from the equation F (b) = 0.6428, F (a) = 0.5736, b = 40, a = 35 and c is the given angle that is 37˚ then we need to find F (37). After substitution to linear interpolation the value of
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