ICSE Class 10 Answered
cot A + cosec A - 1 / cot A - cosec A + 1 = 1 + cos A / sin A
Asked by suryasonawane11 | 01 Apr, 2018, 21:13: PM
![begin mathsize 16px style straight L. straight H. straight S. equals fraction numerator cot space straight A plus cosec space straight A minus 1 over denominator cot space straight A minus cosec space straight A plus 1 end fraction
equals fraction numerator cot space straight A plus cosec space straight A minus left parenthesis cosec squared space straight A minus cot squared space straight A right parenthesis over denominator cot space straight A minus cosec space straight A plus 1 end fraction
equals fraction numerator cot space straight A plus cosec space straight A minus left parenthesis cosec space straight A minus cot space straight A right parenthesis left parenthesis cosec space straight A plus cot thin space straight A right parenthesis over denominator cot space straight A minus cosec space straight A plus 1 end fraction
equals fraction numerator left parenthesis cot space straight A plus cosec space straight A right parenthesis left parenthesis 1 minus cosec space straight A plus cot space straight A right parenthesis over denominator cot space straight A minus cosec space straight A plus 1 end fraction
equals cot space straight A plus cosec space straight A
equals fraction numerator cos space straight A over denominator sin space straight A end fraction plus fraction numerator 1 over denominator sin space straight A end fraction
equals fraction numerator 1 plus cos space straight A over denominator sin space straight A end fraction
equals straight R. straight H. straight S. end style](https://images.topperlearning.com/topper/tinymce/cache/453ea3ba2ea58c149e1cedc7cb4eea34.png)
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