CBSE Class 10 Answered
Prove that:
![question image](https://images.topperlearning.com/topper/new-ate/3847741217461440AirBrush20180716062931.jpg)
Asked by 1784393325200864 | 16 Jul, 2018, 06:31: AM
![begin mathsize 16px style fraction numerator tanA over denominator secA minus 1 end fraction plus fraction numerator tan begin display style straight A end style over denominator secA plus 1 end fraction
equals fraction numerator begin display style fraction numerator begin display style sinA end style over denominator cos begin display style straight A end style end fraction end style over denominator begin display style fraction numerator begin display style 1 end style over denominator cos begin display style straight A end style end fraction minus 1 end style end fraction plus fraction numerator begin display style fraction numerator begin display style sinA end style over denominator cos begin display style straight A end style end fraction end style over denominator begin display style fraction numerator begin display style 1 end style over denominator cos begin display style straight A end style end fraction plus 1 end style end fraction
equals fraction numerator sin begin display style straight A end style over denominator 1 minus cosA end fraction plus fraction numerator begin display style sin straight A end style over denominator 1 plus cosA end fraction
equals fraction numerator begin display style sinA end style begin display style plus end style sin begin display style AcosA end style begin display style plus end style begin display style sinA end style begin display style minus end style begin display style sinAcosA end style over denominator 1 minus cos squared straight A end fraction
equals fraction numerator 2 sinA over denominator begin display style sin squared end style begin display style straight A end style end fraction
equals fraction numerator 2 over denominator sin begin display style straight A end style end fraction
equals 2 cosecA end style](https://images.topperlearning.com/topper/tinymce/cache/aaa6d25c7e5ae5ed338be883d63c70d5.png)
Answered by Sneha shidid | 16 Jul, 2018, 09:42: AM
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