Hunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakesHunter Tutoring — licensed material — do not share · 2026-10-28 · math/high_school/ap_precalc/ap/standard/3-14/common-mistakes

Common Mistakes

Open PDF

Frequent Errors

1. Treating x as input for r = f(theta) (3.14.A.1). 2. Plotting polar graphs as y vs x without conversion. 3. Ignoring stated theta-domain restrictions (3.14.A.2). 4. Confusing r with theta on axis labels. 5. Not recognizing r = a as a circle centered at origin. 6. Missing that r = a cos theta traces a circle through the origin. 7. Negative r plotted without direction adjustment. 8. Verbal description without angle/radius vocabulary (3.A).

Why These Happen

Polar graphs are a new input variable (angle), not the usual x.

How to Fix Them

Say "angle in, radius out" before every problem.
Table (theta, r) then plot from origin.
Write domain interval on the sketch.

Avoidance Scripts

"Theta is the input angle."
"r is distance from the origin."
"Domain restriction = which part of the curve we draw."

Quick Self-Check

Did I use theta as input?
Is my domain interval shown?
Does my sketch match a quick table check?

For your personal study only. Copying, printing, screenshotting, or sharing this material is not permitted and may result in loss of access.

Back to 3.14