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    Maths-
    General
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    Question

    text  If  end text sin text end text B equals 1 fifth times sin space left parenthesis 2 A plus B right parenthesis text  then  end text fraction numerator tan begin display style text end text end style left parenthesis A plus B right parenthesis over denominator tan begin display style text end text end style A end fraction equals

    1. 5/3
    2. 2/3
    3. 3/2
    4. 3/5

    The correct answer is: 3/2

      table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell fraction numerator sin space left parenthesis 2 A plus B right parenthesis over denominator sin space B end fraction equals 5 over 1 text  using C\&D  end text end cell row cell not stretchy rightwards double arrow fraction numerator sin space left parenthesis 2 A plus B right parenthesis plus sin space B over denominator sin space left parenthesis 2 A plus B right parenthesis minus sin space B end fraction equals fraction numerator 5 plus 1 over denominator 5 minus 1 end fraction end cell row cell not stretchy rightwards double arrow fraction numerator tan space left parenthesis A plus B right parenthesis over denominator tan space A end fraction equals 3 over 2 end cell end table

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      text  If  end text sin text end text x plus sin space y equals 3 left parenthesis cos space y minus cos space x right parenthesis text  then  end text fraction numerator sin begin display style text end text end style 3 x over denominator sin begin display style text end text end style 3 y end fraction equals

      text  If  end text sin text end text x plus sin space y equals 3 left parenthesis cos space y minus cos space x right parenthesis text  then  end text fraction numerator sin begin display style text end text end style 3 x over denominator sin begin display style text end text end style 3 y end fraction equals

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      cos squared space left parenthesis A minus B right parenthesis plus cos squared space B minus 2 cos space left parenthesis A minus B right parenthesis cos A cos space B equals

      cos squared space left parenthesis A minus B right parenthesis plus cos squared space B minus 2 cos space left parenthesis A minus B right parenthesis cos A cos space B equals

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      text  If  end text cos text end text alpha plus cos space beta equals 0 equals sin space alpha plus sin space beta text  then  end text cos text end text left parenthesis alpha minus beta right parenthesis equals

      text  If  end text cos text end text alpha plus cos space beta equals 0 equals sin space alpha plus sin space beta text  then  end text cos text end text left parenthesis alpha minus beta right parenthesis equals

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      text  If  end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text  and  end text tan space Atan space straight B equals 2 text end textthen which one of the following is true

      text  If  end text cos text end text left parenthesis straight A minus straight B right parenthesis equals 3 divided by 5 text  and  end text tan space Atan space straight B equals 2 text end textthen which one of the following is true

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      cos space alpha sin space left parenthesis beta minus gamma right parenthesis plus cos space beta sin space left parenthesis gamma minus alpha right parenthesis plus cos space gamma sin space left parenthesis alpha minus beta right parenthesis equals

      cos space alpha sin space left parenthesis beta minus gamma right parenthesis plus cos space beta sin space left parenthesis gamma minus alpha right parenthesis plus cos space gamma sin space left parenthesis alpha minus beta right parenthesis equals

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      text  If tan  end text straight alpha equals 1 half text  and  end text sin text end text straight beta equals fraction numerator 1 over denominator square root of straight pi end fraction text  where  end text 0 less than straight alpha subscript 4 straight beta less than straight pi over 2 text  then  end text 2 straight beta text  is equal to  end text

      text  If tan  end text straight alpha equals 1 half text  and  end text sin text end text straight beta equals fraction numerator 1 over denominator square root of straight pi end fraction text  where  end text 0 less than straight alpha subscript 4 straight beta less than straight pi over 2 text  then  end text 2 straight beta text  is equal to  end text

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      text  If  end text cos text end text straight A equals negative 3 over 5 comma sin space straight B equals 7 over 25 text  and  end text 90 to the power of ring operator less than straight A less than 180 to the power of ring operator comma 0 to the power of ring operator less than straight B less than 90 to the power of ring operator text  then  end text tan text end text left parenthesis straight A plus straight B right parenthesis equals

      text  If  end text cos text end text straight A equals negative 3 over 5 comma sin space straight B equals 7 over 25 text  and  end text 90 to the power of ring operator less than straight A less than 180 to the power of ring operator comma 0 to the power of ring operator less than straight B less than 90 to the power of ring operator text  then  end text tan text end text left parenthesis straight A plus straight B right parenthesis equals

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      text  If  end text cos text end text alpha equals negative 12 over 13 comma cot space beta equals 24 over 7 comma 90 to the power of ring operator less than alpha less than 180 to the power of ring operator and 180 to the power of ring operator less than straight beta less than 270 to the power of ring operator then the quadrant in which alpha plus beta lies

      text  If  end text cos text end text alpha equals negative 12 over 13 comma cot space beta equals 24 over 7 comma 90 to the power of ring operator less than alpha less than 180 to the power of ring operator and 180 to the power of ring operator less than straight beta less than 270 to the power of ring operator then the quadrant in which alpha plus beta lies

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      text  If  end text tan text end text straight A equals 17 over 18 comma tan space straight B equals 1 over 35 text  then  end text cos text end text left parenthesis straight A plus straight B right parenthesis equals

      text  If  end text tan text end text straight A equals 17 over 18 comma tan space straight B equals 1 over 35 text  then  end text cos text end text left parenthesis straight A plus straight B right parenthesis equals

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      text  If  end text straight A comma straight B text  are acute angles,  end text sin space straight A equals 4 over 5 comma tan invisible function application straight B equals 5 over 12 text  then  end text sin text end text left parenthesis straight A plus straight B right parenthesis equals

      text  If  end text straight A comma straight B text  are acute angles,  end text sin space straight A equals 4 over 5 comma tan invisible function application straight B equals 5 over 12 text  then  end text sin text end text left parenthesis straight A plus straight B right parenthesis equals

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      text  In a  end text straight triangle ABC comma straight A text  is obtuse,  end text sin invisible function application straight A equals 3 over 5 comma sin space straight B equals 5 over 13 then sin c=

      text  In a  end text straight triangle ABC comma straight A text  is obtuse,  end text sin invisible function application straight A equals 3 over 5 comma sin space straight B equals 5 over 13 then sin c=

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      text  If  end text sin text end text straight A equals fraction numerator 1 over denominator square root of 2 straight pi end root end fraction comma sin space straight B equals fraction numerator 1 over denominator square root of 5 end fraction comma 0 less than straight A comma straight B less than straight pi over 4 text  then  end text straight A plus straight B equals

      text  If  end text sin text end text straight A equals fraction numerator 1 over denominator square root of 2 straight pi end root end fraction comma sin space straight B equals fraction numerator 1 over denominator square root of 5 end fraction comma 0 less than straight A comma straight B less than straight pi over 4 text  then  end text straight A plus straight B equals

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      text  If  end text tan text end text straight A equals fraction numerator sin begin display style space end style straight B over denominator 1 minus xcos space straight B end fraction text  and  end text tan text end text straight B equals fraction numerator ysin space straight A over denominator 1 minus ycos space straight A end fraction text  then  end text fraction numerator sin begin display style text end text end style straight A over denominator sin begin display style text end text end style straight B end fraction equals

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      fraction numerator cos space x over denominator cos space left parenthesis x minus 2 y right parenthesis end fraction equals lambda not stretchy rightwards double arrow tan space left parenthesis x minus y right parenthesis tan space y equals

      fraction numerator cos space x over denominator cos space left parenthesis x minus 2 y right parenthesis end fraction equals lambda not stretchy rightwards double arrow tan space left parenthesis x minus y right parenthesis tan space y equals

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      In a ΔABC , if cos space Acos space Bcos space straight C equals 1 divided by 3 , then the value of tan A tan B +tan B tan C +tan C tan A is

      In a ΔABC , if cos space Acos space Bcos space straight C equals 1 divided by 3 , then the value of tan A tan B +tan B tan C +tan C tan A is

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