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If thetainkpi, show that cos thetasinthe...

If `thetainkpi,` show that `cos thetasintheta+cos^2thetasin2theta+.....+cos^nthetasinntheta=cottheta(1-cos^nthetacosntheta)`

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The correct Answer is:
`cot theta(1-cos^nthetacosntheta)`
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MOTION-COMPLEX NUMBER -EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED
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  10. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1)) ...

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  13. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+iz(2...

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  14. Let omega be the complex number " cos " ( 2pi)/(3) + isin (2pi)/(3)...

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  16. Let a, b and c be three real numbers satisfying [a" "b" "c][[1,9,7],[...

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  18. Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7...

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  19. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

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  20. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  21. Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...

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