Question

prove that 1+cosA/sin2A=1/1-cosA​

Answer 1

Answer:

Hence proved

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Answer 2

$\sf\tt \: \bold{\underline{To \: Prove}} \: :- \: \dfrac{1 + cosA}{ {sin}^{2}A } = \dfrac{1}{1 - cosA} \\ \\ \\ \\ \sf\tt \: \bold{\underline{Proof}} \: : - \\ \\ \: \sf\tt \: LHS \: \sf\tt:\implies \frac{1 + cosA}{ {sin}^{2}A } \\ \\ \\ \sf\tt:\implies \frac{1 + {cos}A }{1 - cos {}^{2}A } \\ \\ \\ \sf\tt:\implies \: \frac{1 + {cos}A }{ {(1)}^{2} - (cosA) {}^{2} } \\ \\ \\ \sf\tt:\implies \: \cancel\frac{1 +cosA}{(1 + cosA)(1 - cosA)} \\ \\ \\ \sf\tt:\implies \: \underline{\boxed{\bold\purple{ \frac{1}{1 - cosA} }}}\bigstar \: = RHS \\ \\ \\ \: \sf\tt\underline{ Hence, \: proved.}$