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Core Pure: polar coordinates and hyperbolic functions

Quick questions on Polar coordinates and curves: conversion and sketching r = f(theta) - OCR A-Level Further Maths A

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is wrong quadrant when converting to polar?
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tanθ=yx\tan\theta = \dfrac{y}{x} alone does not fix the quadrant; use the signs of xx and yy to choose θ\theta correctly.
What is q1?
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Convert r=3r = 3 to Cartesian form. [1 mark]
What is q2?
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Find where the cardioid r=2(1cosθ)r = 2(1 - \cos\theta) passes through the pole. [2 marks]

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