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If n be a positive integer, then prove t...

If n be a positive integer, then prove that `(1+i)^n+(1-i)^n=2^(n/2+1)."cos"((npi)/4)`

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MAHAVEER PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. Find the values of (-i)^(1/6

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  2. Find the values of (-i)^(2/5)

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  3. If n be a positive integer, then prove that (1+i)^n+(1-i)^n=2^(n/2+1)....

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  4. If a=costheta+isintheta, b=cos phi+isinphi,find the values of cos(thet...

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  5. Show that complex numbers z1=-1+5i and z2=-3+2i on the argand plane.

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  6. Find the complex conjugate of 3+i

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  7. Find the complex conjugate of 2+5i

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  8. Find the complex conjugate of -3i-5

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  9. Find the multiplicative inverse of 3-5i

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  10. Express the following in the form of a+ib: (5i)((1)/(8)i)

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  11. Express the following in the form of a+ib: (2i)((1)/(8)i)

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  12. Express the following in the form of a+ib: (5-3i)^3

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  13. Express the following in the form of a+ib: (-sqrt3+sqrt(-2))(2sqrt3-i)

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  14. Express the following in the form of a+ib: i^(-35)

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  15. Find the volume of the prism shown

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  16. Find the volume of the triangular prism shown in the diagram.

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  17. The base of a triangular prism is DeltaABC, where AB=3 cm, BC=4 cm and...

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  18. The base of a triangular prism is DeltaABC, where AB=3 cm, BC=4 cm and...

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  19. Find the whole surface area of a right prism whose height is 75 cm and...

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  20. The following figure is a right pyramid with an isosceles triangle bas...

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