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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


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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


straight L. straight H. straight S. space equals space 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


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


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


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


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


equals space cot 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 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


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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