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Home / Doubts and Solutions/JEE/Mathematics

plese solve the question

Asked by jaychandran1967 17th December 2017, 10:38 AM
Answered by Expert
Answer:
begin mathsize 16px style fraction numerator sin to the power of 4 straight alpha over denominator straight a end fraction plus fraction numerator begin display style cos to the power of 4 end style begin display style straight alpha end style over denominator straight b end fraction equals fraction numerator 1 over denominator straight a plus straight b end fraction fraction numerator begin display style sin to the power of 4 straight alpha end style over denominator begin display style straight a end style end fraction plus fraction numerator begin display style open parentheses 1 minus sin squared straight alpha close parentheses squared end style over denominator straight b end fraction equals fraction numerator 1 over denominator straight a plus straight b end fraction aftre space simplifying space you space get sin squared straight alpha equals fraction numerator straight b over denominator straight a plus straight b end fraction rightwards double arrow sin to the power of 8 straight alpha equals fraction numerator straight b to the power of 4 over denominator left parenthesis straight a plus straight b right parenthesis to the power of 4 end fraction fraction numerator sin to the power of 8 straight alpha over denominator straight b cubed end fraction equals fraction numerator straight b over denominator left parenthesis straight a plus straight b right parenthesis to the power of 4 end fraction............. left parenthesis straight i right parenthesis find space cos squared straight alpha space using cos squared straight alpha equals 1 minus sin squared straight alpha you space get space cos squared straight alpha equals fraction numerator straight a over denominator straight a plus straight b end fraction rightwards double arrow cos to the power of 8 straight alpha equals fraction numerator straight a to the power of 4 over denominator left parenthesis straight a plus straight b right parenthesis to the power of 4 end fraction fraction numerator cos to the power of 8 straight alpha over denominator straight a end fraction equals fraction numerator straight a cubed over denominator left parenthesis straight a plus straight b right parenthesis to the power of 4 end fraction........... left parenthesis ii right parenthesis put space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis space in space the space LHS space you space will space get space RHS space as space fraction numerator 1 over denominator left parenthesis straight a plus straight b right parenthesis cubed end fraction end style
Answered by Expert 18th December 2017, 9:21 AM
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