cos ssquare pie/8+coa square 3pie/8+cos square 5pie/8+ cos square 7pie/8 =2

Asked by science field | 7th Sep, 2014, 08:17: PM

Expert Answer:

C o n s i d e r space t h e space l e f t space h a n d space s i d e space o f space t h e space g i v e n space e q u a t i o n : L. H. S equals cos squared straight pi over 8 plus cos squared fraction numerator 3 straight pi over denominator 8 end fraction plus cos squared fraction numerator 5 straight pi over denominator 8 end fraction plus cos squared fraction numerator 7 straight pi over denominator 8 end fraction space space space space space space space space space space space equals cos squared straight pi over 8 plus cos squared open parentheses straight pi over 2 minus straight pi over 8 close parentheses plus cos squared open parentheses straight pi over 2 plus straight pi over 8 close parentheses plus cos squared open parentheses straight pi plus straight pi over 8 close parentheses space space space space space space space space space space space equals cos squared straight pi over 8 plus open square brackets cos open parentheses straight pi over 2 minus straight pi over 8 close parentheses close square brackets squared plus open square brackets cos open parentheses straight pi over 2 plus straight pi over 8 close parentheses close square brackets squared plus open square brackets cos open parentheses straight pi plus straight pi over 8 close parentheses close square brackets squared space space space space space space space space space space space equals cos squared straight pi over 8 plus open square brackets sin straight pi over 8 close square brackets squared plus open square brackets sin straight pi over 8 close square brackets squared plus cos squared straight pi over 8 space space space space space space space space space space space equals cos squared straight pi over 8 plus sin squared straight pi over 8 plus sin squared straight pi over 8 plus cos squared straight pi over 8 space space space space space space space space space space space equals 1 plus 1 space space space space space space space space space space space equals 2 space space space space space space space space space space space equals R. H. S H e n c e space p r o v e d.

Answered by Vimala Ramamurthy | 8th Sep, 2014, 08:48: AM