CBSE Class 10 Answered
Sin a + cos a + 1/ sin a + cos a - 1 = 1/ sin a - tan a
![question image](https://images.topperlearning.com/topper/new-ate/topr_2017723130389336IMG20190221WA0005.jpeg)
Asked by adityaagrawal020503 | 21 Feb, 2019, 23:30: PM
Please recheck your question
it should be ![fraction numerator sin space straight a space minus space cos space straight a space plus 1 over denominator sin space straight a space plus space cos space straight a space minus space 1 end fraction equals fraction numerator 1 over denominator begin display style sec space straight a space minus space tan space straight a end style end fraction](https://images.topperlearning.com/topper/tinymce/cache/61c3029509c7dc0027447bc46e666e3d.png)
![fraction numerator sin space straight a space minus space cos space straight a space plus 1 over denominator sin space straight a space plus space cos space straight a space minus space 1 end fraction equals fraction numerator 1 over denominator begin display style sec space straight a space minus space tan space straight a end style end fraction](https://images.topperlearning.com/topper/tinymce/cache/61c3029509c7dc0027447bc46e666e3d.png)
find your answer here
lastly, you can prove the required by
![fraction numerator left parenthesis 1 plus sin space straight A right parenthesis over denominator cos space straight A end fraction
equals sec space straight A space plus space tan space straight A
equals fraction numerator open parentheses sec space straight A space plus space tan space straight A close parentheses begin display style open parentheses sec space straight A space minus space tan space straight A close parentheses end style over denominator sec space straight A space minus space tan space straight A end fraction
equals fraction numerator begin display style open parentheses sec squared space straight A space minus space tan squared space straight A close parentheses end style over denominator sec space straight A space minus space tan space straight A end fraction
equals fraction numerator 1 over denominator sec space straight A space minus space tan space straight A end fraction](https://images.topperlearning.com/topper/tinymce/cache/58a4a421e97655ba82428ac56dae8d4a.png)
Answered by Arun | 24 Feb, 2019, 11:30: AM
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