cos4a+cos3a+cos2a/sin4a+sin3a+sin2a=cot3a
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Step-by-step explanation:
=(cos4A+cos2A)+cos3A/(sin4A+sin2A)+sin3A
={(2cos6A/2cos2A/2)+cos3A}/{(2sin6A/2cos2A/2)+sin3A}
={2cos3AcosA+cos3A}/{2sin3AcosA+sin3A}
=cos3A(2cosA+1)/sin3A(2cosA+1)
=cos3A/sin3A
=cot3A
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