Day Before Mistakes

Question 1

How to use expansion for cot 4 theta or something to find trigonometric values of a quadratic or whatever

Answer 1

Need to manipulate the expansion to get the trig , obviously let x = tan theta

So the only way hopefully is by letting it = 1
So cot 4 theta = 1, and solve for theta

And so the solutions are x = tan whatever

Take theta keep repeating, when divide by 4 eventually they repeat

• rememebr why do we go to 4? Because it’s cot 4 x , we need to make range 4 TIMES BIGGER A LEVEL MATHS DONT LACK

Question 2

Remmeber, with small angle approximation, what to do BEFORE doing anything else

Answer 2

Simplify first, and then integrate , will be done in two sec

Question 3

Increasing function what’s the cinditon?

Answer 3

Derrivstive must be GREATER than or EQUAL TO 0, this makes it go up

Question 4

If domt know the method literally just do it don’t be scared

Answer 4

So sqaure whole thing

Question 5

Always have to justify why you licked a positive minus root

Why would you lick between cos and sin?

Answer 5

Literally put in calc, and say cos or sin is closer to 1 / 0, and then lick this root

Once you have cos sin is always 1 - that sqaured don’t lack

Question 6

Rememebr that sin is 0 for every pi so to make real, need sin to be 0

Question 7

Arguments etc

Answer 7

They,l never expect you to do something crazy, look at diagram and try from there

Question 8

Rememebr CYLCI integrals for parts

Answer 8

Let I be the integrated, and then sub this in when needed, DINT LACK

Question 9

Don’t know the transformation of a matrix, how to solve?

Answer 9

Just write down the transformations of 1,0 0,1 (check everything is correct orientation wise, and apply to chekc)

So just see where those corners went

Question 10

Polynomial in terms of cos theta means

Answer 10

NO DOUBLE ANGLES

Question 11

Rememebr you CAN INTEGRATE sin terms etc if the DERRIVSTIVE IS RIGHT IN FRONT OF IT

Answer 11

Don’t be stupid please

Question 12

Integers are

Answer 12

Whole numbers

Question 13

Always put BRAKCTES around number before exponenting the,

Question 14

Rememebr if y is greater than 0 why reject the minus for Conan? Even tho it’s possible

Answer 14

Reject because 1-something small would give a decimal, and ln a deciam. Is a negative number

Don’t Take this, as y must be greater than 0

Question 15

3rdquadrant is where?

Answer 15

Use cast to tell u, c ,clockwise from a so bottom lef t

Question 16

Bruh, for one axis invaifwnt, the y value can go wherever it wants bit it means x must be 9, so just

Answer 16

Sub in a value x and y, where x is 0 and y can become anything so it doesn’t matter

Question 17

If one root and one unknown

Answer 17

USE FACTOR THEROEM TO FIND UNKNOWN DIJT BE STUID

Question 18

Justify mal around

Answer 18

Means also write down the part for which jtnis convergent

Question 19

Rememebr error does not =percentage error