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CBSE Class 11-science Answered

If acosA-bsinA=c Prove that.   asinA+bcosA=square root of a squared plus b squared minus c squared end root
Asked by kahafnaaz243 | 23 Aug, 2018, 09:47: PM
answered-by-expert Expert Answer
begin mathsize 16px style acosA minus bsinA equals straight c
left parenthesis acosA minus bsinA right parenthesis squared equals straight c squared
straight a squared cos squared straight A plus straight b squared sin squared straight A minus 2 absinAcosA equals straight c squared
straight a squared left parenthesis 1 minus sin squared straight A right parenthesis plus straight b squared left parenthesis 1 minus cos squared straight A right parenthesis minus 2 absinAcosA equals straight c squared
Solving space it space further space we space get
left parenthesis asinA plus bcosA right parenthesis squared equals straight a squared plus straight b squared minus straight c squared
asinA plus bcosA equals plus-or-minus square root of straight a squared plus straight b squared minus straight c squared end root end style
Answered by Sneha shidid | 24 Aug, 2018, 12:38: PM

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