TS EAMCET · Maths · Application of Derivatives
The approximate value of \(\left(3 \sqrt{126}+\sin 61^{\circ}\right)\) correct to three decimal places, obtained by taking \(1^{\circ}=0.0174\) radians, is
- A 5.772
- B 5.765
- C 5.806
- D 5.888
Answer & Solution
Correct Answer
(D) 5.888
Step-by-step Solution
Detailed explanation
Let \(\left(3 \sqrt{126}+\sin 61^{\circ}\right)=A+B\) \(A=3 \sqrt{126}=3 \sqrt{125+1}=\left(5^3+1\right)^{1 / 3}\) \(=5\left(1+\frac{1}{5^3}\right)^{1 / 3}=5\left(1+\frac{1}{3} \cdot \frac{1}{5^3}-\frac{1}{9} \cdot \frac{1}{5^6}+\ldots\right)\)…
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