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


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


therefore space 2 space cos space straight theta space plus space fraction numerator 1 over denominator cos space straight theta space end fraction space equals space 3

therefore space 2 space cos squared space straight theta space minus space 3 space cos space straight theta space plus space 1 space equals space 0

therefore space 2 space cos squared space straight theta space minus space 2 space cos space straight theta space minus space cos space space straight theta space plus space 1 space equals space 0

therefore space open parentheses 2 space cos space straight theta space minus space 1 close parentheses space open parentheses cos space straight theta space minus space 1 close parentheses space equals space 0

therefore space 2 space cos space straight theta space minus space 1 space equals space 0 space અથવ ા space cos space straight theta space minus space 1 space equals space 0

therefore space cos space straight theta space equals space 1 half space અથવ ા space cos space straight theta space equals space 1

therefore space cos space straight theta space equals space 1 half space equals space cos space straight pi over 3 space અથવ ા space cos space straight theta space equals space 1 space equals space cos space 0

therefore space straight theta space equals space 2 kπ space plus-or-minus space straight pi over 3 space 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 0 space comma space straight k space element of space straight Z

therefore space straight theta space equals space 2 kπ space 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 straight pi over 3 space comma space straight k space element of space straight Z

therefore space ઉક ે લગણ space colon space open curly brackets bold 2 bold kπ 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 bold pi over bold 3 bold space left enclose bold space bold k bold space bold element of bold space bold Z end enclose close curly brackets

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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 squared space straight theta space plus space square root of 3 space cos space straight theta space equals space 0


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