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Tamil Nadu Board of Secondary EducationHSC Commerce Class 11

The radian measure of 37°30′ is: - Business Mathematics and Statistics

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Question

The radian measure of 37°30′ is:

Options

  • `(5pi)/24`

  • `(3pi)/24`

  • `(7pi)/24`

  • `(9pi)/24`

MCQ

Solution

`(5pi)/24`

Explanation:

37°30′ = `37^circ + (30/60)^circ`

= 37° + 0.5° = 37.5°

`= 75^circ/2`

37°30′ = `75/2 xx pi/180` radians

`= (5pi)/(2 xx 12)`

= `(5pi)/24` radian

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Trigonometric Ratios
  Is there an error in this question or solution?
Chapter 4: Trigonometry - Exercise 4.5 [Page 92]

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