Convert (2,-2) to exact polar coordinates with r > 0 and 0<_theta<_2pi B Convert

Question

Convert (2,-2) to exact polar coordinates with r > 0 and 0<_theta<_2pi
B Convert (2,-2) to exact polar coordinates with r < 0 and 0<_theta<_2pi

Convert (2,-2) to exact polar coordinates with r > 0 and 0<_theta<_2pi
B Convert (2,-2) to exact polar coordinates with r < 0 and 0<_theta<_2pi

r > 0 and 0<_theta<_2pi
B Convert (2,-2) to exact polar coordinates with r < 0 and 0<_theta<_2pi


B Convert (2,-2) to exact polar coordinates with r < 0 and 0<_theta<_2pi

Explanation / Answer

We have given (x,y)=(2,-2)

we know that tan(theta)=y/x and r=sqrt(x^2+y^2)

substituting x,y into above equations

tan(theta)=-2/2=-1

theta=arctan(-1)

theta =(3pi)/4

r=sqrt(x^2+y^2)

r=sqrt((2)^2+(-2)^2)

=sqrt(4+4)

r=sqrt(8)

r=sqrt(8),r=-sqrt(8)

polar coordinate is (r,theta)=(sqrt(8),(3pi)/4) with r>0 and and 0<_theta<_2pi for (2,-2)

polar coordinate is (r,theta)=(-sqrt(8),(3pi)/4) with r<0 and and 0<_theta<_2pi for (2,-2)

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.