Ex 3_4 - 7 62 3 c hapter: D ifferentiation g t f t o The d...

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762 chapter 3: Differentiation The differentiability of the trigonom€tdc functions throughout thcir domains gives anothcr proofoftheif continuity ar cvcry point in thcn domains (Theotcn 1, Section 3 1). So $€ can calculatc limits of algcbraic combinations and compositcs of trigonometric functions by direcl subslitution. EXAMPLE 7 \t + *.; ':i, !,"(u - trn f) rt;,".n - ]lFt cos(r tar 0) cos(r 0) = \,5 : I \6 EXERCISES 3.4 ln Exercises I l2.lind 41lJ. l I= 10r+lcosr 3. r=cscr 4Vr+7 |U.r:l-s\I 14.t:l.-secr+5d' 18. r:arsind+cos, 20. r = (l + sece)sind 22. /): (l + cscq)cosq 5. _r : (secx + tanrl(secr lanrl 6. l: Glnr + cosr)\ecr ll. L: rrsinr + zrcosr 2sinr 12. .f = a: cocr 2:Y sinr 2 cosr ln taeicises l3 16. fhd lj/dr. ln Exerciscs r7 20, fintl drl.lA. ln Exerciscs 21 24. find d/dq. I zr. f: ) +.or4 sina + cosa 25. Find v" i{ 26. Find/1rr = /1_r'1dr4 if ln E\erclses 27 30. graph the curts ovcr the gilen inten'als. together wilh thel Lrecnts at
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Ex 3_4 - 7 62 3 c hapter: D ifferentiation g t f t o The d...

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