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If cosec A + cot A=11/2then tan A is equal to what?â€‹

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$\\cosec^2A-cot^2A=1\\(cosecA+cotA)(cosecA-cotA)=1\\\frac{11}{2}(cosecA-cotA)=1\\\\cosecA-cotA=\frac{2}{11}.......(1)\\\\cosecA+cotA=\frac{11}{2}.......(2)\\(2)-(1)\Rightarrow 2cotA=\frac{11}{2}-\frac{2}{11}=\frac{117}{22}\\\\cotA=\frac{117}{44}\\\\tanA=\frac{1}{cotA}=\frac{44}{117}$

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Safeer PP

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