Q

Asked by manali | 24th Dec, 2015, 02:25: PM

Expert Answer:

L e t space fraction numerator cos theta over denominator p end fraction equals fraction numerator sin theta over denominator q end fraction equals k fraction numerator cos squared theta over denominator p squared end fraction equals fraction numerator sin squared theta over denominator q squared end fraction equals k squared equals fraction numerator c o s squared theta plus s i n squared theta over denominator p squared plus q squared end fraction rightwards double arrow k squared equals fraction numerator 1 over denominator p squared plus q squared end fraction space o r space k equals plus-or-minus fraction numerator 1 over denominator square root of p squared plus q squared end root end fraction  N o w comma space fraction numerator p over denominator s e c 2 theta end fraction plus fraction numerator q over denominator cos e c 2 theta end fraction equals p cos 2 theta plus q sin 2 theta equals p open parentheses c o s squared theta minus s i n squared theta close parentheses plus 2 q sin theta cos theta equals p open parentheses p squared k squared minus q squared k squared close parentheses plus 2 q open parentheses p k close parentheses open parentheses q k close parentheses equals p k squared open parentheses p squared minus q squared close parentheses plus 2 p k squared q squared equals p k squared open square brackets p squared minus q squared plus 2 q squared close square brackets equals p k squared open parentheses p squared plus q squared close parentheses equals p cross times 1 equals p O p t i o n space A space i s space c o r r e c t.

Answered by satyajit samal | 24th Dec, 2015, 04:27: PM

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