Math, asked by arunchand1911, 3 months ago

prove that 1+cosA/sin2A=1/1-cosA​

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Answered by kumariekta884
0

Answer:

Hence proved

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Answered by Sen0rita
8

\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.}

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