If 1° = 0.01745 then, what is the value of cos62°?(a) 0.4588(b) 0.4788(c) 0.4688(d) 0.3688I got this question by my college professor while I was bunking the class.My question is based upon Application of Derivative for Error Determination topic in chapter Application of Derivatives of Mathematics – Class 12

If 1° = 0.01745 then, what is the value of cos62°?(a) 0.4588(b) 0.47

1.	If 1° = 0.01745 then, what is the value of cos62°?(a) 0.4588(b) 0.4788(c) 0.4688(d) 0.3688I got this question by my college professor while I was bunking the class.My question is based upon Application of Derivative for Error Determination topic in chapter Application of Derivatives of Mathematics – Class 12
Answer» RIGHT choice is (c) 0.4688 Explanation: Let, y = f(x) = cosx And, x = 60° = π/3, δx = 2° = 2 * 0.01745 = 0.03490 Since f(x) = cosx, hence f’(x) = -sinx Now, we have f(x + δx) = f(x) + f’(x) δx Or, f(60° + 2°) = f(60°) + f’(60°) * 0.0349 Or, f(62°) = COS(60°) – sin60° * 0.0349 Or, cos62° = 0.5 – 0.866 * 0.0349 = 0.4688

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