TS EAMCET · Maths · Application of Derivatives
The approximate value of \(\sec 59^{\circ}\) obtained by taking \(1^{\circ}=\) 0.0174 and \(\sqrt{3}=1.732\) is
- A 1.9849
- B 1.8493
- C 1.9397
- D 1.9948
Answer & Solution
Correct Answer
(C) 1.9397
Step-by-step Solution
Detailed explanation
Let \(f(x)=\sec x \Rightarrow f^{\prime}(x)=\sec x \tan x\) Take \(a=60^{\circ}\) and \(h=-1^{\circ}=-0.0174\) Then \(f(a)=\sec 60^{\circ}=2 \Rightarrow f^{\prime}(a)=2 \sqrt{3}\)…
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