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Home > PC > Chapter 11 > Lesson 11.1.3 > Problem 11-46

11-46.

In problem 11-40 you found that the polar equation will generate a parabola that is rotated 45° clockwise. Convert the equation into rectangular form. Homework Help ✎
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Multiply both sides by cos²(θ + π/4).

Note: Steps can be done in various orders.

Expand sin(θ + π/4) and cos(θ + π/4) using the angle sum identities.

Change sin(π/4) and cos(π/4) to their numeric values.

Multiply both sides by r.

Substitute x for r cos(θ), etc.

Simplify.