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Find the amplitude of sinalpha+i(1-cosa...

Find the amplitude of `sinalpha+i(1-cosalpha)`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If the expression (1 + ir)^3 is of the form of s(1+ i) for some real '...

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  2. Two towns A and B are 60 km a part. A school is to be built to serve ...

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  3. Find the amplitude of sinalpha+i(1-cosalpha)

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  4. Modulus of non zero complex number z satisfying barz +z=0 and |z|^2-4...

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  5. Find the condition on a , b ,c ,d such that equations 2a x^3+bx^2+c x+...

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  6. Let z=9+b i ,w h e r eb is nonzero real and i^2=-1. If the imaginary p...

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  7. If z1a n dz2 are two complex numbers and c >0 , then prove that |z1+z2...

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  8. Let f(x), g(x), and h(x) be the quadratic polynomials having positive ...

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  9. Find the minimum value of |z-1 if ||z-3|-|z+1||=2.

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  10. If x=omega-omega^2-2 then , the value of x^4+3x^3+2x^2-11x-6 is (where...

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  11. If a ,b ,c be the sides of A B C and equations a x^2+b x+c=0 and 5x^2...

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  12. Find the greatest and the least value of |z1+z2| ifz1=24+7ia n d|z2|=6...

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  13. If the complex numbers x and y satisfy x^3-y^3=98 ia n dx-y=7i ,t h e ...

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  14. If b^2<2a c , then prove that a x^3+b x^2+c x+d=0 has exactly one re...

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  15. If z is any complex number such that |z+4|lt=3, then find the greatest...

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  16. If z1, z2 and z3, are the vertices of an equilateral triangle ABC suc...

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  17. If two roots of x^3-a x^2+b x-c=0 are equal in magnitude but opposite ...

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  18. For any complex number z find the minimum value of |z|+|z-2i|

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  19. The greatest positive argument of complex number satisfying |z-4|=R e(...

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  20. If alpha,betaa n dgamma are the roots of x^3+8=0 then find the equat...

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