If y= tantheta , the value of theta=60 and error in measurement of angle is 1.8°. Find the value of y. (a) 0.126 (b) 1.25 (c) 0.014 (d) 0.0126
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0
Answer:
Explanation:
∵m=ktanθ
∴dm=ksec
2
θdθ
⇒
m
dm
=
ktanθ
ksec
2
θ
dθ
⇒
m
dm
=
sinθcosθ
dθ
=
sin2θ
2dθ
⇒% error is minimum when sin2θ has maximum value hence 2θ=
2
π
orθ=45
∘
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