You are Here: Home >< Maths

# Can't simplify further help please watch

1. y= x^2/ Sin^2(x) => x^2 / (Sin (x)) ^2

Using quotient rule
let u = x^2 v = (Sin(x))^2
du/dx= 2x dv/dx= 2(Sin(x)) x Cos (x)= 2Sin(x)Cos(x)

{ 2x(Sin(x)^2) - 2x^2(Sin(x)Cos(x) } / Sin^4(x)

The textbook answer is [2x{Sin(x)- xCos(x)}]/Sin^3(x)

Im having trouble simplifying my answer further to match that of the textbook.
2. (Original post by Carlos Nim)
y= x^2/ Sin^2(x) => x^2 / (Sin (x)) ^2

Using quotient rule
let u = x^2 v = (Sin(x))^2
du/dx= 2x dv/dx= 2(Sin(x)) x Cos (x)= 2Sin(x)Cos(x)

{ 2x(Sin(x)^2) - 2x^2(Sin(x)Cos(x) } / Sin^4(x)

The textbook answer is [2x{Sin(x)- xCos(x)}]/Sin^3(x)

Im having trouble simplifying my answer further to match that of the textbook.
Divide top and bottom by sin(x).

Factor out 2x in the numerator.
3. (Original post by RDKGames)
Divide top and bottom by sin(x).

Factor out 2x in the numerator.
Wow so simple that was.....
Any advice on how to get better at spotting these little things ?
4. (Original post by Carlos Nim)
Wow so simple that was.....
Any advice on how to get better at spotting these little things ?
Factorise whenever you can.

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: March 10, 2018
Today on TSR

### Fastest and slowest offer senders

Which unis still haven't sent offers?

### University open days

• University of Lincoln
Mini Open Day at the Brayford Campus Undergraduate
Wed, 19 Dec '18
• University of East Anglia
Fri, 4 Jan '19
• Bournemouth University
Wed, 9 Jan '19
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