Equation using rectangular coordinates

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1. The letters r and O represent polar coordinates. Write the following equation using rectangular coordinates (x, y) r=10cosO

a) (x+y)^2=10x

b) (x+y)^2=10y

c) x^2+y^2=10y

d) x^2+y^2=10x

2. The letters x and y represent polar coordinates. Write the following equation using polar coordinates (r, O) y=-10

a) rcosO=10

b) rcosO=-10

c) rsinO=10

d) rsinO=-10

3. Write the expression in a+bi form: (1-i)^10

a) -32

b) 32

c) 32i

d) -32i

Reference no: EM131470770

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