user44184
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Next privilege 50 Rep.
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### Questions (5)

 2 How to relate $2\sin(3\pi/8)-2\sin(7\pi/8)$ and $\csc(3\pi/8)$? 2 Show that $\int_{-\infty}^\infty\frac{\cos(x)}{e^x+e^{-x}}dx=\frac{\pi}{e^{\pi/2}+e^{-\pi/2}}$? 1 $f$ has a zero at $z_o$ and $g$ has a pole at $z_o$. Prove that $fg$ has a removable singularity at $z_o$? 1 Cauchy's formula: $\int_\gamma \frac{e^{z}}{z(z-3)} dz$ 0 Power series expansion of $\frac{z^2}{1-z}$?

### Reputation (39)

 +5 $f$ has a zero at $z_o$ and $g$ has a pole at $z_o$. Prove that $fg$ has a removable singularity at $z_o$? +10 How to relate $2\sin(3\pi/8)-2\sin(7\pi/8)$ and $\csc(3\pi/8)$? +10 Show that $\int_{-\infty}^\infty\frac{\cos(x)}{e^x+e^{-x}}dx=\frac{\pi}{e^{\pi/2}+e^{-\pi/2}}$? +5 Cauchy's formula: $\int_\gamma \frac{e^{z}}{z(z-3)} dz$

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### Tags (3)

 0 complex-analysis × 4 0 trigonometry 0 complex-numbers

### Accounts (2)

 Mathematics 39 rep 3 Stack Overflow 19 rep 4