prove that tan-¹2x + tan-¹3x = π/4
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Step-by-step explanation:
tanx=tan(2x−x)=1+tan2xtanxtan2x−tanx
∴T1=tan2xtanx=cotx(tan2x−tan1)−1
∴T2=cotx(tan3x−tan2x)−1 etc.
∴Sn=cotx[tan(n+1)x−tanx]−n
=cotxtan(n+1)x−1−n
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Answer:
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