sin³x+cos³x/sinx+cosx +sin³x-cos³x/ sinx-cosx
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Answer:
sin³x+cos³x/sinx+cosx +sin³x-cos³x/
Step-by-step explanation:
sin³x+cos³x/sinx+cosx +sin³x-cos³x/
sin3x−cos3x
=sinxsin2x−cosxcos2x
=sinx(1−cos2x)−cosx(1−sin2x)
=sinx−sinxcos2x−cosx+cosxsin2x
=sinx−cosx+(sinx−cosx)sinxcosx
=(sinx−cosx)(1+sinxcosx)
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