CBSE Class 10 Answered
prove that cosec-cot A) ^2 = 1-Cos A/ 1+ cos A
Asked by riddhu542007 | 07 Jan, 2023, 21:31: PM
![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](https://images.topperlearning.com/topper/tinymce/cache/3b066a1f8bb3d8e269a1bc2738506beb.png)
![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](https://images.topperlearning.com/topper/tinymce/cache/9f3294c908e75d6f5dcb5f512c261a95.png)
![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](https://images.topperlearning.com/topper/tinymce/cache/a388620fcacb5595095c9ceed20afc33.png)
Answered by Thiyagarajan K | 07 Jan, 2023, 22:35: PM
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