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Find real theta such that (3+2isintheta)...

Find real `theta` such that `(3+2isintheta)/(1-2isintheta)` is purely real.

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If alpha,beta are the nonzero roots of a x^2+b x+c=0 and alpha^2,beta^...

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  3. Find real theta such that (3+2isintheta)/(1-2isintheta) is purely real...

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  4. If the roots of the equation a x^2+b x+c=0 are of the form (k+1)/k and...

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  5. Prove that tan(iloge((a-ib)/(a+ib)))=(2ab)/(a^2-b^2) (where a, b in ...

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  7. Find the real part of (1-i)^(-i)dot

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  8. The equation (x^2+x+1)^2+1=(x^2+x+1)(x^2-x-5) for x in (-2,3) will h...

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  9. Convert of the complex number in the polar form: 1-i

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  10. If alpha,beta are the roots of a x^2+c=b x , then the equation (a+c y)...

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  11. If z=r e^(itheta) , then prove that |e^(i z)|=e^(-r sintheta)

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  15. Find real value of x and y for which the complex numbers -3+i x^2y ...

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  17. Show that e^(2m itheta)((icottheta+1)/(i cottheta-1))^m=1.

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  19. It is given that complex numbers z1 and z2 satisfy |z1|=2 and |z2|=3....

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