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ત્રિકોણમિતીય સમીકરણો અને ત્રિકોણના ગુણધર્મો

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ગણિત ધોરણ 11 સેમિસ્ટર 2

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ગણિત

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ત્રિકોણમિતીય સમીકરણો અને ત્રિકોણના ગુણધર્મો

નીચેનું સમીકરણ ઉકેલો :
$sin space 2 theta space plus space cos space theta space equals space 0$

નીચેનું સમીકરણ ઉકેલો :
$2 space cos squared space straight theta space plus space square root of 3 space cos space straight theta space equals space 0$

therefore space cos space straight theta space open parentheses 2 space cos space straight theta space plus space square root of 3 close parentheses space equals space 0 therefore space cos space straight theta space equals space 0 space અથવ ા space cos space straight theta space equals space minus fraction numerator square root of 3 over denominator 2 end fraction space equals space cos space open parentheses straight pi space minus space straight pi over 6 close parentheses space equals space cos space open parentheses fraction numerator 5 straight pi over denominator 6 end fraction close parentheses therefore space straight theta space equals space open parentheses 2 straight k space plus space 1 close parentheses straight pi over 2 comma space straight k space element of space straight Z space અથવ ા space cos space straight theta space equals space cos space open parentheses fraction numerator 5 straight pi over denominator 6 end fraction close parentheses therefore space straight theta space equals space open parentheses 2 straight k space plus space 1 close parentheses space straight pi over 2 comma space straight k space element of space straight Z space અથવ ા space straight theta space equals space 2 kπ space plus-or-minus space fraction numerator 5 straight pi over denominator 6 end fraction comma space straight k space element of space straight Z therefore space ઉક ે લગણ space colon space open curly brackets open parentheses bold 2 bold k bold space bold plus bold space bold 1 close parentheses bold pi over bold 2 bold space left enclose bold space bold k bold space bold element of bold space bold Z end enclose close curly brackets bold space bold union bold space open curly brackets bold 2 bold kπ bold space bold plus-or-minus bold space fraction numerator bold 5 bold pi over denominator bold 6 end fraction bold space left enclose bold space bold k bold space bold element of bold space bold Z end enclose close curly brackets

નીચેનું સમીકરણ ઉકેલો :
$2 space cos space 2 straight theta space plus space square root of 2 space equals space 0$

નીચેનું સમીકરણ ઉકેલો :
$4 space sin squared space straight theta space minus space 8 space cos space straight theta space plus space 1 space equals space 0$

નીચેનું સમીકરણ ઉકેલો :
$2 space cos space straight theta space plus space sec space straight theta space equals space 3$

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