Convert to Rectangular Coordinates (-4,-4)

Problem

(−4,−4)

Solution

1. Identify the given polar coordinates as (r,θ) where r=−4 and θ=−4

2. Apply the formula for the xcoordinate using x=r*cos(θ)

x=−4*cos(−4)

3. Apply the formula for the ycoordinate using y=r*sin(θ)

y=−4*sin(−4)

4. Simplify the expressions using the even/odd properties of trigonometric functions, where cos(−4)=cos(4) and sin(−4)=−sin(4)

x=−4*cos(4)

y=4*sin(4)

Final Answer

(−4,−4)⇒(−4*cos(4),4*sin(4))

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