Formulas of Trigonometric and Logarithmic Functions

1)

Sinx = \frac{{{e^{ix}} - {e^{ - ix}}}}{{2i}}

2)

Cosx = \frac{{{e^{ix}} + {e^{ - ix}}}}{2}

3)

Tanx = \frac{{{e^{ix}} - {e^{ - ix}}}}{{i({e^{ix}}  + {e^{ - ix}})}}

4)

Cotx = \frac{{i({e^{ix}} + {e^{ - ix}})}}{{{e^{ix}}  - {e^{ - ix}}}}

5)

Secx = \frac{2}{{{e^{ix}} + {e^{ - ix}}}}

6)

Co\sec x = \frac{{2i}}{{{e^{ix}} - {e^{ - ix}}}}

7)

Log(x + iy) = Log\sqrt {{x^2} + {y^2}} + iTa{n^{ - 1}}\left( {\frac{y}{x}} \right)

8)

Log\left( {\frac{{x + iy}}{{x - iy}}} \right) =  2iTa{n^{ - 1}}\left( {\frac{y}{x}} \right)

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