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SOLVED:The derivative formulas for sinx, cosx, tanx, cotx, secx, and cscx were obtained under the assumption that x is measured in radians. If x is measured in degrees, then limx →0 (sinx)/(x)=(π)/(180) (See Exercise 48 of Section 1.6 ). Use this result to prove that if x is measured in degrees, then (a) (d)/(d x)[sinx]=(π)/(180) cosx (b) (d)/(d x)[cosx]=-(π)/(180) sinx.
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