# 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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