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Working with degrees instead of radians

  • #1

Homework Statement



If x is measured in radians, then the derivative of Sin[x] with respect to x is Cos[x].

Use the formula Sin [x degrees] = Sin [2π/360 x radians]
to calculate the derivative of Sin [x degrees] with respect to x.

Why does the resulting formula make calculus difficult if you insist on working with degrees instead of radians?

Thanks for any help you can offer!

Homework Equations


y = sin [πx/180]
y' = 1/180 * π * cos[πx/180]

The Attempt at a Solution


I don't understand the "Why does the resulting formula make calculus difficult if you insist on working with degrees instead of radians?" question.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
LCKurtz
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Don't you think that having a pi/180 nuisance factor in all derivatives of the trig functions qualifies as a reason?
 

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