Question

For the ordered pair, give three other ordered pairs with θ between −360° and 360° that name the same point.

Answer 1

Answer:$(357^{0},330^{0})$,$(-3^{0},-30^{0})$,$(357^{0},-30^{0})$

Step-by-step explanation:

For a ordered pair $(\alpha ,\beta )$,$(\alpha -2n_{1}\pi ,\beta -2n_{2}\pi )$ represents the same point in the cartesian plane where $n_{1}$ and $n_{2}$ are any integers.

Given point is $(-3^{0},330^{0})$

Taking $n_{1}=-1,n_{2}=0$,

$(357^{0},330^{0})$

Taking $n_{1}=0,n_{2}=1$,

$(-3^{0},-30^{0})$

Taking $n_{1}=-1,n_{2}=-1$,

$(357^{0},-30^{0})$