Question

Find the distance between the points with polar coordinates (2, 120°) and (1, 45°).

Simplify 2(3 – 4i) + (5 – i15).

Simplify (3 + i)(1 – i)

Answer 1

Find the distance between the points with polar coordinates (2, 120°) and (1, 45°).

one way is to find the rectangular coordinates of these 2 points, then use the distance formula: d= sqrt( (x1-x2)^2 + (y1-y2)^2)

Answer 2

Simplify 2(3 – 4i) + (5 – i15)
distribute the 2 on the first term. combine the reals and combine the imaginary terms (the ones with the i)