PremiumDaniel R. A Level Maths tutor, A Level Further Mathematics  tutor, GC...

Daniel R.

£24 - £26 /hr

Studying: Mathematics (Bachelors) - Durham University

5.0
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.

106 reviews| 108 completed tutorials

Contact Daniel

About me

I’m a third year student studying Maths with European Studies at Durham. In my A levels, I achieved A* in Maths and Further Maths and have had experience teaching new spec GCSE and A-level, so I am familiar with the course content and what the examiners are looking for in answers and can help you achieve the top grades.  In the past I have helped friends at GCSE and A level, including leading group A-level Maths revision sessions. I am enthusiastic about all the subjects I offer and I hope I can impart some of that enthusiasm on to you.

I’m a third year student studying Maths with European Studies at Durham. In my A levels, I achieved A* in Maths and Further Maths and have had experience teaching new spec GCSE and A-level, so I am familiar with the course content and what the examiners are looking for in answers and can help you achieve the top grades.  In the past I have helped friends at GCSE and A level, including leading group A-level Maths revision sessions. I am enthusiastic about all the subjects I offer and I hope I can impart some of that enthusiasm on to you.

Show more

About my sessions

In the session I aim to use a variety of teaching methods, including past paper questions and diagrams to promote engagement and enhance learning so that you get the most out of your session. Everyone learns differently so I believe that it is important to tailor the pace and content of the session to you, with specific focus being placed on the areas which you feel unsure about and wish to improve upon.

In the session I aim to use a variety of teaching methods, including past paper questions and diagrams to promote engagement and enhance learning so that you get the most out of your session. Everyone learns differently so I believe that it is important to tailor the pace and content of the session to you, with specific focus being placed on the areas which you feel unsure about and wish to improve upon.

Show more

No DBS Icon

No DBS Check

Ratings & Reviews

5from 106 customer reviews
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.

Stephanie (Parent)

May 8 2017

Huge help!

Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.

Anujin (Student)

October 12 2016

Thanks again!

Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.

Anujin (Student)

October 20 2016

Another great tutorial, thank you very much!

Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.
Star 1 Created with Sketch.

Mrs E (Parent)

June 25 2016

AAA++++

Show more reviews

Qualifications

SubjectQualificationGrade
MathsA-level (A2)A*
Further MathsA-level (A2)A*
PhysicsA-level (A2)A
FrenchA-level (A2)A

General Availability

Before 12pm12pm - 5pmAfter 5pm
mondays
tuesdays
wednesdays
thursdays
fridays
saturdays
sundays

Subjects offered

SubjectQualificationPrices
Further MathematicsA Level£26 /hr
MathsA Level£26 /hr
MathsGCSE£24 /hr
PhysicsGCSE£24 /hr

Questions Daniel has answered

How do I express y=acosx+bsinx in the form y=Rcos(x-c)?

From the addition formula, we know that:

Rcos(x-c) = Rcos(x)sin(c)+Rsin(x)cos(c)

Therefore:

acos(x)+bsin(x) = Rcos(x)cos(c)+Rsin(x)sin(c)

If we equate the coefficients of cos(x) and sin(x) we see that:

acos(x) = Rcos(x)sin(c);   therefore a = Rcos(c)

And that:

bsin(x) = Rsin(x)cos(c);    therefore b = Rsin(c)

To find c:

If we divide one of the above results by the other:

Rsin(c)/Rcos(c) = b/a

Rsin(c)/Rcos(c) = b/a

tan(c) = b/a

Therefore, c = arctan(b/a)

To find R:

a2+b2 = R2cos2(c)+R2sin2(c)

a2+b2 = R2(cos2(c)+sin2(c))

As cos2(c)+sin2(c) = 1,

a2+b2 = R2

(a2+b2)1/2=R

So, overall:

acos(x)+bsin(x) = (a2+b2)1/2cos(x-arctan(b/a))

From the addition formula, we know that:

Rcos(x-c) = Rcos(x)sin(c)+Rsin(x)cos(c)

Therefore:

acos(x)+bsin(x) = Rcos(x)cos(c)+Rsin(x)sin(c)

If we equate the coefficients of cos(x) and sin(x) we see that:

acos(x) = Rcos(x)sin(c);   therefore a = Rcos(c)

And that:

bsin(x) = Rsin(x)cos(c);    therefore b = Rsin(c)

To find c:

If we divide one of the above results by the other:

Rsin(c)/Rcos(c) = b/a

Rsin(c)/Rcos(c) = b/a

tan(c) = b/a

Therefore, c = arctan(b/a)

To find R:

a2+b2 = R2cos2(c)+R2sin2(c)

a2+b2 = R2(cos2(c)+sin2(c))

As cos2(c)+sin2(c) = 1,

a2+b2 = R2

(a2+b2)1/2=R

So, overall:

acos(x)+bsin(x) = (a2+b2)1/2cos(x-arctan(b/a))

Show more

2 years ago

2684 views

Arrange a free video meeting


To give you a few options, we can ask three similar tutors to get in touch. More info.

Contact Daniel

How do we connect with a tutor?

Where are they based?

How much does tuition cost?

How do tutorials work?

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok