Q.1 (viii) The approximate value of tan(44^°30') , given that 1^°=0.0175^c , is ____ A. 0.8952 B. 0.9528 C. 0.9285 D. 0.9825

Answer: D. 0.9825 Answer: (d) 0.9825 Let f(x)=tan x , a=45^°=π/4 , h=-30'=-0.5^°=-0.5×0.0175=-0.00875^c . f(a+h)≈ f(a)+hf'(a)=tanπ/4+hsec²π/4=1+(-0.00875)(2)=1-0.0175=0.9825 .

Chapter: Applications of Derivatives· Mathematics & Statistics Part 2

The approximate value of \(\tan(44^\circ30')\), given that \(1^\circ=0.0175^c\), is ____

Q.1 (viii) The approximate value of \(\tan(44^\circ30')\), given that \(1^\circ=0.0175^c\), is ____

A. 0.8952

B. 0.9528

C. 0.9285

D. 0.9825

Doubtly Asked 29 Oct 2026 Board exam · July 2024 hsc 12th Save WhatsApp Report

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Answer: D. 0.9825

Answer: (d) 0.9825

Let \(f(x)=\tan x\), \(a=45^\circ=\dfrac{\pi}{4}\), \(h=-30'=-0.5^\circ=-0.5\times0.0175=-0.00875^c\).

\(f(a+h)\approx f(a)+hf'(a)=\tan\dfrac{\pi}{4}+h\sec^2\dfrac{\pi}{4}=1+(-0.00875)(2)=1-0.0175=0.9825\).

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report

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The approximate value of \(\tan(44^\circ30')\), given that \(1^\circ=0.0175^c\), is ____

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