CBSE Class 11-science Answered

Please solve the following question:

Asked by manasd | 28 Oct, 2015, 10:04: PM

Expert Answer

$C o n s i d e r space t h e space g i v e n space e x p r e s s i o n colon tan squared straight pi over 16 plus t a n squared fraction numerator 2 straight pi over denominator 16 end fraction plus t a n squared fraction numerator 3 straight pi over denominator 16 end fraction plus t a n squared fraction numerator 4 straight pi over denominator 16 end fraction plus t a n squared fraction numerator 5 straight pi over denominator 16 end fraction plus t a n squared fraction numerator 6 straight pi over denominator 16 end fraction plus t a n squared fraction numerator 7 straight pi over denominator 16 end fraction equals k W e space k n o w space t h a t space tan squared A equals fraction numerator 1 minus cos 2 A over denominator 1 plus cos 2 A end fraction A l s o comma space w e space h a v e comma t a n squared fraction numerator 7 straight pi over denominator 16 end fraction equals t a n squared open parentheses straight pi over 2 minus straight pi over 16 close parentheses t a n squared fraction numerator 6 straight pi over denominator 16 end fraction equals t a n squared open parentheses straight pi over 2 minus fraction numerator 2 straight pi over denominator 16 end fraction close parentheses t a n squared fraction numerator 5 straight pi over denominator 16 end fraction equals t a n squared open parentheses straight pi over 2 minus fraction numerator 3 straight pi over denominator 16 end fraction close parentheses R e w r i t i n g space t h e space g i v e n space e x p r e s s i o n comma space w e space h a v e comma t a n squared straight pi over 16 plus t a n squared fraction numerator 2 straight pi over denominator 16 end fraction plus t a n squared fraction numerator 3 straight pi over denominator 16 end fraction plus t a n squared fraction numerator 4 straight pi over denominator 16 end fraction plus t a n squared fraction numerator 5 straight pi over denominator 16 end fraction plus t a n squared fraction numerator 6 straight pi over denominator 16 end fraction plus t a n squared fraction numerator 7 straight pi over denominator 16 end fraction equals t a n squared straight pi over 16 plus t a n squared fraction numerator 7 straight pi over denominator 16 end fraction plus t a n squared f </div> <div class=$ Answered by Vimala Ramamurthy | 29 Oct, 2015, 11:57: AM