Question

# To practice converting between different forms of complex notation.

a) Write i +

data-value="sqrt{3}">$sqrt3$ in the complex form R exp(iθ)

b) Do the same for i - $sqrt3$ .

c) Find the value of (i + $sqrt3$ )*(i - $sqrt3$ ) two ways. First, multiply these two terms out, keeping everything in x+iy form. Next, use your results from a) and b) to multiply them out in R exp(iθ) form.

d) Find the value of( i + $sqrt3$ )/(i - $sqrt3$ ) two ways. First, maintain the x + iy form (you can use the result we found in class). Second, use the polar, R exp(iθ) form.

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