limits annd derivatives
Asked by tangocharliee
| 15th Nov, 2009,
03:12: PM
Expert Answer:
d(cosec xcot x)/dx = d(cosx/sin2x)/dx
= {sin2x d(cosx)/dx - cosx d(sin2x)/dx}/sin4x
= {sin2x (-sinx) - cosx (2sinxcosx)}/sin4x
= -sinx{sin2x + 2cos2x}/sin4x
= -sinx{1 + cos2x}/sin4x
= -{1 + cos2x}/sin3x
= - cosec3x - cosecx cot2x
Regards,
Team,
TopperLearning.
Answered by
| 16th Nov, 2009,
02:38: PM
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