ICSE Class 10 Answered
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Asked by Kanwaranita10 | 03 Mar, 2020, 14:40: PM
Prove that sinA/(1 + cotA) - cosA/(1+ tan A) = sinA - cos A
![begin mathsize 16px style fraction numerator sinA over denominator 1 plus cotA end fraction minus fraction numerator cosA over denominator 1 plus tanA end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/4843a474a9411ce186d0c5ba588e282d.png)
![begin mathsize 16px style equals fraction numerator sinA over denominator 1 plus begin display style cosA over sinA end style end fraction minus fraction numerator cosA over denominator 1 plus begin display style sinA over cosA end style end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/c5634fe58aa187832f2bb2479b118a11.png)
![begin mathsize 16px style equals fraction numerator sin squared straight A over denominator sinA plus cosA end fraction minus fraction numerator cos squared straight A over denominator sinA plus cosA end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/64ce88861597a6ace0dac331b0dc4190.png)
![begin mathsize 16px style equals fraction numerator sin squared straight A minus cos squared straight A over denominator sinA plus cosA end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/73653456e0cac0593a7472909067c7bf.png)
![begin mathsize 16px style equals fraction numerator open parentheses sinA plus cosA close parentheses open parentheses sinA minus cosA close parentheses over denominator sinA plus cosA end fraction equals sinA minus cosA end style](https://images.topperlearning.com/topper/tinymce/cache/be0a1b102eff03df9ba01821dd93d772.png)
Answered by Sneha shidid | 03 Mar, 2020, 16:46: PM
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