Math, asked by 12344678910, 1 month ago

please give me answer of maths question 2​

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Answered by SweetestBitter
6

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\huge\color{cyan}\boxed{\colorbox{black}{♡Answer :-♡}}

 (  {sin}^{4} a -  {cos}^{4} a + 1). {cosec}^{2}  = 2\\  \\ ((  {sin})^{2^{2} } a -  ({cos})^{2^{2} }  a) + 1). {cosec}^{2}  = 2 \\  \\ (( {sin}^{2} a +  {cos}^{2} a)( {sin}^{2} a -  {cos}^{2} a ) + 1)  . {cosec}^{2}a = 2 \\  \\ (1( {sin}^{2} a -  {cos}^{2} a ) + 1). {cosec}^{2} a = 2 \\  \\ ( {sin}^{2} a -  {cos}^{2} a + 1). \frac{1}{ {sin}^{2}a } = 2 \\  \\ ( {sin}^{2} a +  {sin}^{2} a ). \frac{1}{ {sin}^{2}a }  = 2\:  \\  \\ (2 {sin}^{2} a) \frac{1}{ {sin}^{2} a}  = 2 \\  \\ 2 = 2 \\  \\ hence \: proved

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