Consider the polar equationT (1) What is the equation in Cartesian (rectangular)

Question

Consider the polar equationT (1) What is the equation in Cartesian (rectangular) coordinates equivalent to this polar equation? Cartesian equation Write your answer as an expression in T and y which is the left-hand side of the equation when the right-hand side is set equal to zero. For example, the equation of the parabola y 1 can be rewritten as y r2-1-0, so your answer would be y 21. For this particular problem, the power on r in your answer should be 1 Which of the following curves is associated with the equation given above? O A. line o B. Circle C. parabola O D. hyperbola

Explanation / Answer

theta = -(1/4) pi

Taking tan to both sides

tan theta = tan(- pi/4)

tan theta = -1

sin theta/ cos theta = -1

r sin theta/r cos theta =-1

r sin theta =- r cos theta

y = -x

Which represents line

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