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If A,B and C are angle of a triangle of a triangle ,the value of `|{:(e^(2iA),e^(-iC),e^(-iB)),(e^(-iC),e^(-2iB),e^(-iA)),(e^(-iB),e^(-iBA),e^(2iC)):}|` is (where i=`sqrt(-1))`

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If A+B+C, = pi and e^(i theta) = cos theta+i sin theta and z = det [[e^(-iC), e^(2iB), e^(-iA) e^ (-iB), e^(-iA), e^(2iC)]], then

MOTION-COMPLEX NUMBER -EXERCISE - 3 (LEVEL -III) SUBJECTIVE - JEE ADVANCED
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  14. If =a+b,y=aomega+bomega^2 and z=aomega^2+bomega, prove tht xyz=a^3+b^3

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  15. If x=a+b, y=aomega+bomega^2 and z=aomega^2+bomega where omega is an i...

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  16. If x=a+b,y=aomega+bomega^2 nd z=omega^2+bomega, prove that x^3+y^3+z^3...

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  17. (1+w)^7=A+Bw where w is the imaginary cube root of of a unity and A, B...

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