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###### Here we derive the formulas for the derivatives of the trigonometric (unctions The area of sector of circle of radius subtended by an angle given by %r-0, and the length of the arc subtended is given by r0, where measured radians: Consider circle of radius with central angle 0. Use Figure to argue that { sin â‚¬ cos 0 < 10 < } tan 8. (6) Show that COScoS(c) Show thatlimUse the fact that lime cos 0 = [ to show sin 0 lim =4Use the formula sin(& 8) = sin cos 8 + sin 8 cos to show that if

Here we derive the formulas for the derivatives of the trigonometric (unctions The area of sector of circle of radius subtended by an angle given by %r-0, and the length of the arc subtended is given by r0, where measured radians: Consider circle of radius with central angle 0. Use Figure to argue that { sin â‚¬ cos 0 < 10 < } tan 8. (6) Show that COS coS (c) Show that lim Use the fact that lime cos 0 = [ to show sin 0 lim =4 Use the formula sin(& 8) = sin cos 8 + sin 8 cos to show that if f(x) sinkxh then f' (x) = cos Use the fact that cos x = sin(w/2 x) t0 show that if f(x) then '(x) Derive the formulas for the other trigonometric functions

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