## 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?

## 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.

## The Attempt at a Solution

LCKurtz
Homework Helper
Gold Member
Don't you think that having a pi/180 nuisance factor in all derivatives of the trig functions qualifies as a reason?