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ત્રિકોણમિતિ

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ત્રિકોણમિતિ
જો bold cosB bold space bold equals bold space bold 1 over bold 3 bold comma bold space તો બાકીના પાંચ ત્રિકોણમિતીય ગુણોત્તર શોધો.
Answer
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    bold increment bold space bold ABC માં bold m bold space bold angle bold B bold space bold equals bold space bold 90 bold degree bold comma bold space જો bold BC bold space bold equals bold space bold 3 bold space અને bold AC bold space bold equals bold space bold 5 bold comma bold spaceતો bold angle bold A ના બધા ત્રિકોણમિતીય ગુણોત્તરો શોધો. 



    bold increment bold space bold ABC માં bold m bold space bold angle bold B bold space bold equals bold space bold 90 bold degree

    thereforeપાયથાગોરસ નિયમાનુસાર 

    bold AB to the power of bold 2 bold space bold plus bold space bold BC to the power of bold 2 bold space bold equals bold space bold AC to the power of bold 2 bold therefore bold space bold AB to the power of bold 2 bold space bold plus bold space bold 3 to the power of bold 2 bold space bold equals bold space bold 5 to the power of bold 2 bold therefore bold space bold AB to the power of bold 2 bold space bold equals bold space bold 9 bold space bold equals bold space bold 25 bold space bold therefore bold space bold AB to the power of bold 2 bold space bold equals bold space bold 25 bold space bold minus bold space bold 9 bold space bold space bold equals bold space bold 16 bold space bold therefore bold space bold AB bold space bold equals bold space bold 4 bold space bold sinA bold space bold equals bold space bold BC over bold AC bold space bold equals bold space bold 3 over bold 5 bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold cosA bold space bold equals bold space bold AB over bold BC bold space bold equals bold space bold 4 over bold 5 bold cosecA bold space bold equals bold space bold 1 over bold sinA bold space bold equals bold space bold 5 over bold 3 bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold secA bold space bold equals bold space bold 1 over bold cosA bold space bold equals bold space bold 5 over bold 4 bold tanA bold space bold equals bold space bold BC over bold AB bold space bold equals bold space bold 3 over bold 4 bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold space bold cotA bold space bold equals bold space bold 1 over bold tanA bold space bold equals bold space bold 4 over bold 3
    Answer
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    જો bold cosecθ bold space bold equals bold space bold 13 over bold 5 bold comma તો bold tanθ અને bold cosθ શોધો. 
    Answer
    • bold increment bold space bold ABC માં bold m bold space bold angle bold A bold space bold equals bold space bold 90 bold degree, જો bold AB bold space bold equals bold space bold 5 bold comma bold space bold AC bold space bold equals bold space bold 12 bold space અને bold BC bold space bold equals bold space bold 13 bold comma bold space તો bold sinC bold comma bold space bold cosC bold comma bold space bold tanB bold comma bold space bold cosB bold comma bold space bold sinB શોધો. 
    Answer

    • જો bold cosA bold space bold equals bold space bold 4 over bold 5 bold commaતો bold siaA અને bold tanA શોધો. 

    Answer
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