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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

Answer» EXPLANATION:∵m=ktanθ∴dm=ksec 2 θdθ⇒ mdm​ = ktanθksec 2 θ​ dθ⇒ mdm​ = sinθcosθdθ​ = sin2θ2dθ​ ⇒% error is minimum when sin2θ has MAXIMUM VALUE HENCE 2θ= 2π​ orθ=45 ∘


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