Not so complex

Algebra Level 3

\[\large \text{cis}(x) = e^{\frac{\pi}{2}}i\]

Given that \(x\) is a complex number in the form \(a + bi\) that follows the equation above. Find \(a + b\).

Details and Assumptions

  • \(\text{cis}(x) = \cos(x) + i\sin(x)\)
  • \(i\) is the imaginary number, \(i = \sqrt{-1}\)
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