the physical quantity y is given as y=tanx and error in measurement of angle x is 3.6°. if sinx=3/5, then the error in the determined value of y is
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error = tan x2 - tanx
x2 - x= 3.6
sinx= 3/5
tanx= 3/4
x2 - tan^-1 3/4 = 3.6
take tan both side
tan x2 - 3/4 = tan 3.6
tan x2= tan 3.6 + 3/4
so error = tan 3.6 +3/4 -3/4
= tan 3.6
x2 - x= 3.6
sinx= 3/5
tanx= 3/4
x2 - tan^-1 3/4 = 3.6
take tan both side
tan x2 - 3/4 = tan 3.6
tan x2= tan 3.6 + 3/4
so error = tan 3.6 +3/4 -3/4
= tan 3.6
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Explanation:
If y= tan (x) then error in x is --------- *
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