How do you convert (12, 7pi/4) to rectangular form?

1 Answer

x=12 cos ((7pi)/4)=12*(1/sqrt2)=6sqrt2

y=12 sin ((7pi)/4)=12*(-1/sqrt2)=-6sqrt2

Rectangular Form (6sqrt2, -6sqrt2)

Explanation:

Use x=r cos theta
Use y=r sin theta

x=12 cos ((7pi)/4)=12*(1/sqrt2)=6sqrt2

y=12 sin ((7pi)/4)=12*(-1/sqrt2)=-6sqrt2

Rectangular Form (6sqrt2, -6sqrt2)

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