Extra Flashcards
Partial fractions remember if there is a repeated root then
Must include this root TWICE, once repeated and once without
What was the further maths partial fractions case?
If you have a quadratic term at the bottom which can’t be split, then put a linear term on top ax +b and this would be fine
How to use partial fractions to make BINOMAIL EXPANSION EASIER
split them up so your adding two expansions instead of multiplying, much less room for error!!!
How to manipulate trig identities, especially involving tan
Divide EACH term by a term and you get the desired reust
When using ha,or if form when tk use?
When you can’t divide by cos either because it is 0 or because it womtget you anywhere, and so hamronicto cinvert
Parametric tehcniques
Rearrange for t sub in
Make a trig identity
Add and subtrsvt and simultaneous
Rememebr what is grsdient of perpendicualr
That is - reciprocal
How to do parts metric differntiate on
Chain rule differntiate to get dy / dx
Set it to 0 to find stationary points
Now out these back into x and y equations to find turning points
To test their nature dont second thatslong, go left and right using the value of t and termine
Can you still use second derrivstive for paratmerirc equation?
Yes you can don’t worry