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prove that cosec-cot A) ^2 = 1-Cos A/ 1+ cos A
Asked by riddhu542007 | 07 Jan, 2023, 09:31: PM
answered-by-expert Expert Answer
begin mathsize 14px style open parentheses cos e c A space minus space c o t A close parentheses squared space equals space cos e c squared A space plus space c o t squared A space minus space 2 space cos e c A space c o t A end style
 
begin mathsize 14px style R H S space equals space fraction numerator 1 over denominator sin squared A end fraction plus fraction numerator cos squared A over denominator sin squared A end fraction space minus space 2 space fraction numerator 1 over denominator sin A end fraction fraction numerator cos A over denominator sin A end fraction equals fraction numerator 1 space plus space cos squared A space minus space 2 space cos A over denominator sin squared A end fraction end style
 
begin mathsize 14px style R H S space equals space fraction numerator open parentheses 1 space minus space cos A close parentheses squared over denominator sin squared A end fraction space equals space fraction numerator open parentheses 1 space minus space cos A close parentheses squared over denominator left parenthesis 1 space minus space cos squared A right parenthesis end fraction space equals space fraction numerator open parentheses 1 space minus space cos A close parentheses squared over denominator left parenthesis 1 space minus space cos A right parenthesis left parenthesis 1 plus cos A right parenthesis end fraction space equals space fraction numerator open parentheses 1 space minus space cos A close parentheses over denominator left parenthesis 1 plus cos A right parenthesis end fraction end style
Answered by Thiyagarajan K | 07 Jan, 2023, 10:35: PM

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