Math, asked by rocky855, 9 months ago

Prove that sin ÷ 1 - cos - cot = cosec

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Answered by barkharautela36
0

Answer: given, cosec(tan  −1 (cos(cot  −1 (sec(sin −1 a))))) =cosec(tan−1 (cos(cot  −1 (sec(sec  −1 1−a  2 1  ))))) {Since for a∈[0,1],sin  −1 a=sec  −1  1−a  2  1 ] =cosec(tan  −1 (cos(cot  −1 1−a  2 1  ))) =cosec(tan  −1  (cos(cos  −1   2−a  2  1  ))) [Since for a∈[0,1],cot  −1 1−a 2  ​1  =cos −1  2−a  2 1  ] =cosec(tan  −12−a  2 1  ) =cosec(cosec  −1 3−a  2 )  [Since for a∈[0,1],tan  −1 2−a 2 1  =cosec  −1 3−a  2  ] =  3−a  2  .

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