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Question: Answered & Verified by Expert
If $1^{\circ}=\alpha$ radians, then the approximate value of $\cos \left(60^{\circ} 1^{\prime}\right)$ is
MathematicsTrigonometric Ratios & IdentitiesTS EAMCETTS EAMCET 2011
Options:
  • A $\frac{1}{2}+\frac{\alpha \sqrt{3}}{120}$
  • B $\frac{1}{2}-\frac{\alpha}{120}$
  • C $\frac{1}{2}-\frac{\alpha \sqrt{3}}{120}$
  • D $\frac{1}{2}+\frac{\alpha}{120}$
Solution:
1450 Upvotes Verified Answer
The correct answer is: $\frac{1}{2}-\frac{\alpha \sqrt{3}}{120}$
$\therefore \cos \left(60^{\circ} 1^{\prime}\right)=\frac{1}{2}-\frac{\alpha \sqrt{3}}{120}$

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