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  • Explain solution RD Sharma class 12 chapter Differentials Errors and Approximations exercise 13.1 question 9 sub question (xi) maths

Explain solution RD Sharma class 12 chapter Differentials Errors and Approximations exercise 13.1 question 9 sub question (xi) maths

Answers (1)

Answer: 0.4849

Hint: f(x+\Delta x)=f(x)+\Delta f(x)

Given: f(x)=\cos x=\cos 60^{\circ}

            \Delta x=1=0.01745 \text { radius }

Solution: 

\cos 61^{\circ}=f\left(61^{\circ}\right)=f\left(60^{\circ}+1^{\circ}\right)=f\left(60^{\circ}\right)+\Delta x f^{1}\left(60^{\circ}\right)=0.5+[0.01745]

\left[-\sin 60^{\circ}\right]

\begin{aligned} &{\left[\therefore f^{1}(x)=-\sin x\right]} \\\\ &\Rightarrow \cos 61^{\circ}-0.5+(0.01745)(-0.86603) \\\\ &\therefore \cos 61^{\circ}=0.4848 \end{aligned}

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