ICSE Class 10 Answered
sin A(1+tan A)+cosa(1+cotA)=secA + cosecA
Asked by Harshit | 27 Jan, 2018, 20:18: PM
![begin mathsize 16px style sinA left parenthesis 1 plus tanA right parenthesis plus cosA left parenthesis 1 plus cotA right parenthesis
equals sinA open parentheses 1 plus sinA over cosA close parentheses plus cosA open parentheses 1 plus cosA over sinA close parentheses
equals sinA over cosA open parentheses cosA plus sinA close parentheses plus cosA over sinA open parentheses sinA plus cosA close parentheses
equals open parentheses cosA plus sinA close parentheses open parentheses sinA over cosA plus cosA over sinA close parentheses
equals open parentheses cosA plus sinA close parentheses open parentheses fraction numerator sin squared straight A plus cos squared straight A over denominator sinAcosA end fraction close parentheses
equals fraction numerator open parentheses cosA plus sinA close parentheses over denominator sinAcosA end fraction
equals cosA over sinAcosA plus sinA over sinAcosA
equals 1 over sinA plus 1 over cosA
equals cosecA plus secA end style](https://images.topperlearning.com/topper/tinymce/cache/c78ddaf93c3be15c4d1e950ec5fd2e96.png)
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