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ગણિત ધોરણ 11 સેમિસ્ટર 2

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ગણિત

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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


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


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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


straight L. straight H. straight S. space equals space fraction numerator cos space straight theta over denominator 1 space plus space sin space straight theta end fraction


         equals space fraction numerator begin display style fraction numerator 1 space minus space tan squared space straight theta over 2 over denominator 1 space plus space tan squared space straight theta over 2 end fraction end style over denominator space 1 space plus space begin display style fraction numerator 2 space tan space straight theta over 2 over denominator 1 space plus space tan squared space straight theta over 2 end fraction end style end fraction



equals space fraction numerator 1 space minus space tan squared space straight theta over 2 over denominator 1 space plus space tan squared space straight theta over 2 space plus space 2 space tan space straight theta over 2 end fraction


equals space fraction numerator open parentheses 1 space minus space tan space straight theta over 2 close parentheses space open parentheses 1 space plus space tan space straight theta over 2 close parentheses over denominator open parentheses 1 space plus space tan space straight theta over 2 close parentheses squared end fraction


equals space fraction numerator 1 space minus space tan space straight theta over 2 over denominator 1 space plus space tan space straight theta over 2 end fraction


equals space fraction numerator tan space straight pi over 4 space minus space tan space straight theta over 2 over denominator space 1 space plus space tan space straight pi over 4 times space tan space straight theta over 2 space end fraction


equals space tan space open parentheses straight pi over 4 space minus space straight theta over 2 close parentheses


equals space straight R. straight H. straight S. space

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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


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