You are Here: Home >< Maths

# Sketching the curve of r = (pi/2 - theta)^2 watch

1. I'm only familiar with curve sketching involving trigonometry in polar.. How to draw this? I get that r=0 at theta=pi/2 and pi^2/4 at theta=pi/2 but how do I determine the shape, etc. Do I differentiate dr/dtheta to find the turning point? The mark scheme shows 'Negative gradient at A; Correct form at O.', what does A and O stand for?
2. just plug a few points on your calculator and make a rough sketch.

then if need be differentiate it to work out turning/inflexion points and mark them on.

then check what happens when x -> +infinity.

those are generally the basic steps to sketching a random function (depending on the function you may want to check for asymptotes too)

### Related university courses

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: April 11, 2011
The home of Results and Clearing

### 2,875

people online now

### 1,567,000

students helped last year
Today on TSR

### Took GCSEs this summer?

Fill in our short survey for Amazon vouchers!

### University open days

1. Bournemouth University
Wed, 22 Aug '18
2. University of Buckingham
Thu, 23 Aug '18
3. University of Glasgow
Tue, 28 Aug '18
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams