cot2A - tanA =cos 3A/cosÀ.sin2A
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L.H.S.= cot2A - tanA
= cos2A/sin2A - sinA/cosA
=(taking LCM)
= cosAcos2A- sinAsin2A/ sin2AcosA
= cos(A+2A) /sin2AcosA
= cos3A/ sin2AcosA= R.H.S
Hence,proved
= cos2A/sin2A - sinA/cosA
=(taking LCM)
= cosAcos2A- sinAsin2A/ sin2AcosA
= cos(A+2A) /sin2AcosA
= cos3A/ sin2AcosA= R.H.S
Hence,proved
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