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ગણિત ધોરણ 11 સેમિસ્ટર 2

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ગણિત

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સાબિત કરો :
fraction numerator cos space 2 straight theta over denominator 1 space plus space sin space 2 straight theta end fraction space equals space cot space open parentheses straight pi over 4 space plus space straight theta close parentheses


સાબિત કરો :
fraction numerator cos space straight theta over denominator 1 space plus space sin space straight theta end fraction space equals space tan space open parentheses straight pi over 2 space minus space theta over 2 close parentheses


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સાબિત કરો :
tan space straight theta over 2 space plus space cot space straight theta over 2 space equals space 2 space cosec space straight theta


straight L. straight H. straight S. space equals space tan space straight theta over 2 space plus space cot space straight theta over 2


         equals space fraction numerator sin space straight theta over 2 over denominator cos space straight theta over 2 end fraction space plus space fraction numerator cos space straight theta over 2 over denominator sin space straight theta over 2 end fraction


equals space fraction numerator sin squared space begin display style straight theta over 2 end style space plus space cos squared space begin display style straight theta over 2 end style over denominator sin space begin display style straight theta over 2 end style space cos space begin display style straight theta over 2 end style end fraction


equals space fraction numerator 2 space cross times space 1 over denominator 2 space sin space straight theta over 2 space cos space straight theta over 2 end fraction


equals space fraction numerator 2 over denominator sin space straight theta end fraction

equals space 2 space cosec space straight theta


equals space straight R. straight H. straight S.

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સાબિત કરો :
fraction numerator sin space 2 straight theta over denominator 1 space minus space cos space 2 straight theta end fraction space equals space cot space straight theta


સાબિત કરો :
fraction numerator 1 space plus space sin space 2 straight theta space plus space cos space 2 straight theta over denominator 1 space plus space sin space 2 straight theta space minus space cos space 2 straight theta end fraction space equals space cot space straight theta


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