cos x XXXXXXXXXXsin x ------- + ----------- 1+ sin x cos x

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cos x 1+ sin x
------- + -----------

1+ sin x cos x


Answered Same DayDec 22, 2021

Answer To: cos x XXXXXXXXXXsin x ------- + ----------- 1+ sin x cos x

Robert answered on Dec 22 2021
125 Votes
# 1 [cosx/ (1+sinx)] + [(1+sinx)/cosx)]
Solution:
Rationalize denominator which contains Denomin
ator (1+sinx)
= {(cosx)/(1+sinx)} * {(1-sinx)/(1-sinx)} + ((1+sinx)/cosx)
= [(1-sinx)*cosx]/ [(1-sinx) (1+sinx)] + ((1+sinx)/cosx)
= [cosx (1-sinx)]/cos2x + ((1+sinx)/cosx) ...
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