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Algebra · Expressions

Analyse (I·sin(x) + cos(x))^2

\left(i \sin{\left(x \right)} + \cos{\left(x \right)}\right)^{2}

Step by step

  1. \left(i \sin{\left(x \right)} + \cos{\left(x \right)}\right)^{2}

    An expression in x. Here is what it does.

  2. e^{2 i x}

    Simplified form.

  3. - \sin^{2}{\left(x \right)} + 2 i \sin{\left(x \right)} \cos{\left(x \right)} + \cos^{2}{\left(x \right)}

    Expanded form.

  4. \frac{d}{dx} = \left(i \sin{\left(x \right)} + \cos{\left(x \right)}\right) \left(- 2 \sin{\left(x \right)} + 2 i \cos{\left(x \right)}\right)

    Derivative (slope).

Reveal the answer
e^{2 i x}