If 1^{circ} = 0.0175 text{ radians},then the | vedclass

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(B) We need to find the value of $\sec 58^{\circ}$.Since $\sec 58^{\circ} = \frac{1}{\cos 58^{\circ}}$,we first calculate $\cos 58^{\circ}$.Using the

Vedclass · Accepted Answer

$1.8788$

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(B) We need to find the value of $\sec 58^{\circ}$.Since $\sec 58^{\circ} = \frac{1}{\cos 58^{\circ}}$,we first calculate $\cos 58^{\circ}$.Using the approximation $\cos(60^{\circ} - 2^{\circ}) = \cos 60^{\circ} \cos 2^{\circ} + \sin 60^{\circ} \sin 2^{\circ}$.Given $1^{\circ} = 0.0175 	ext{ radians}$,then $2^{\circ} = 2 	imes 0.0175 = 0.035 	ext{ radians}$.Using small angle approximations,$\cos 2^{\circ} \approx 1 - \frac{(0.035)^2}{2} = 1 - 0.0006125 = 0.9993875$ and $\sin 2^{\circ} \approx 0.035$.Substituting these values: $\cos 58^{\circ} \approx (0.5 	imes 0.9993875) + (0.866 	imes 0.035) = 0.49969375 + 0.03031 = 0.53000375$.Then $\sec 58^{\circ} = \frac{1}{0.53000375} \approx 1.8867$.Comparing with the given options,the closest value is $1.8788$.

If $1^{\circ} = 0.0175 \text{ radians}$,then the approximate value of $\sec 58^{\circ}$ is

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