AP EAMCET · Maths · Application of Derivatives
The approximate value of \(\cos 31^{\circ}\) is \(\left(\right.\) Take \(\left.1^{\circ}=0.0174\right)\)
- A 0.7521
- B 0.866
- C 0.7146
- D 0.8573
Answer & Solution
Correct Answer
(D) 0.8573
Step-by-step Solution
Detailed explanation
Let \(y=\cos (x), x=30^{\circ}\) and \(x+\Delta x=31^{\circ}\) Let us find \((y)_{x=\frac{\pi}{6}}=\cos \left(\frac{\pi}{6}\right)=\frac{\sqrt{3}}{2}\) Then, \(\Delta x=1^{\circ}=0.0174\) radian. Consider the given function, \[ y=f(x)=\cos (x) \] Differentiating w.r.t. \(x\),…
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