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Maths-

General

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Question

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

0
1
-1
$4 \cos α \cos β \cos γ$

The correct answer is: 0

$text Take end text alpha equals beta equals gamma$

Related Questions to study

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

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

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

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

$text If end text cos text end text alpha equals negative 12 over 13 comma cot space beta equals 24 over 7 comma 90 to the power of ring operator less than alpha less than 180 to the power of ring operator$ 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

parallel

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

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

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

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

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

parallel

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

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

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

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

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

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

parallel

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

$Error converting from MathML to accessible text.$

$Error converting from MathML to accessible text.$

$text If end text x squared plus y squared plus z squared equals r squared$ and $tan space straight alpha equals xy over straight x comma tan space straight beta equals straight y over xs comma tan space straight gamma equals xe over straight y$ then $straight alpha plus straight beta plus straight gamma equals$

$text If end text x squared plus y squared plus z squared equals r squared$ and $tan space straight alpha equals xy over straight x comma tan space straight beta equals straight y over xs comma tan space straight gamma equals xe over straight y$ then $straight alpha plus straight beta plus straight gamma equals$

parallel

$text If end text straight A plus straight B plus straight C equals straight pi over 2 text then end text sum fraction numerator cos begin display style text end text end style left parenthesis straight B plus straight C right parenthesis over denominator cos begin display style text end text end style Bcos space straight C end fraction equals$

$text If end text straight A plus straight B plus straight C equals straight pi over 2 text then end text sum fraction numerator cos begin display style text end text end style left parenthesis straight B plus straight C right parenthesis over denominator cos begin display style text end text end style Bcos space straight C end fraction equals$

$text In a end text straight triangle ABC text if end text tan text end text straight B equals fraction numerator 2 sin space Asin space straight C over denominator sin begin display style space end style left parenthesis straight A plus straight C right parenthesis end fraction text then end text tan space straight A comma tan space straight B comma tan space straight C text are in end text$

$text In a end text straight triangle ABC text if end text tan text end text straight B equals fraction numerator 2 sin space Asin space straight C over denominator sin begin display style space end style left parenthesis straight A plus straight C right parenthesis end fraction text then end text tan space straight A comma tan space straight B comma tan space straight C text are in end text$

in a $straight triangle P Q R comma open square brackets straight real numbers equals pi over 2 text if end text tan text end text open parentheses P over 2 close parentheses close$ and $tan space open parentheses straight Q over 2 close parentheses$ are the roots of the equation $a x squared plus b x plus c equals 0 left parenthesis a not equal to 0 right parenthesis$ then

in a $straight triangle P Q R comma open square brackets straight real numbers equals pi over 2 text if end text tan text end text open parentheses P over 2 close parentheses close$ and $tan space open parentheses straight Q over 2 close parentheses$ are the roots of the equation $a x squared plus b x plus c equals 0 left parenthesis a not equal to 0 right parenthesis$ then

parallel

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