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ICSE Class 10 Answered

prove:(sinø+secø)2+(cosø+cosecø)2=(1+secø.cosecø)
Asked by praveen.ujjwal | 12 Nov, 2018, 09:15: PM
answered-by-expert Expert Answer
begin mathsize 18px style LHS space equals open parentheses sin empty set plus sec empty set close parentheses squared plus open parentheses cos empty set plus cosec empty set close parentheses squared
RHS thin space left parenthesis should space be right parenthesis equals open parentheses 1 plus sec empty set cosec empty set close parentheses squared
hint colon
take space LHS thin space convert space into space sin space and space cos
you space will space get
fraction numerator sin squared empty set cos squared empty set plus 1 plus 2 sin empty set cos empty set over denominator cos squared empty set end fraction plus fraction numerator sin squared empty set cos squared empty set plus 1 plus 2 sin empty set cos empty set over denominator sin squared empty set end fraction
equals fraction numerator sin squared empty set cos squared empty set plus open parentheses sin empty set plus cos empty set close parentheses squared over denominator cos squared empty set end fraction plus fraction numerator sin squared empty set cos squared empty set plus open parentheses sin empty set plus cos empty set close parentheses squared over denominator sin squared empty set end fraction
cross space multiply space and space simplify
then space take space RHS space convert space into space sin space and space cos
end style
Answered by Arun | 13 Nov, 2018, 09:23: AM
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