Trig

Question 1

Rotational symmetry means what

Answer 1

If it has rotational symmetry it means off furnviton

Hence tan sin (-x) = - tan - sin of x
And even means cos (-x) = cos x

Question 2

Domain all values

Answer 2

X is part of the real numbers

XeR

Question 3

Rememebr how to statsify the range

Answer 3

Apply the transformation to the ranges, find the angles, and then subtrsvt or add but the relevant period

Sometimes find the angles outside the range and then subtravt

Question 4

How to differntiate from first princplies , and differntiate cos x from first

Answer 4

Pick a point x , will have coordinate f of x
Pick a point x +h away, will have y f(x+h)

Now the grsdient is the limit as h tends to 0 of change in / change in x
So f(x+h)- f(x) / h
Now sub these in, use compound angle, and now use SMALL ANGLE APPROX because h is small

Divide by h ( want to ger to this stage)
Once divided , now take the limit

Becomes -sin

Question 5

When diffenritsign from fire troinvipke what to do always, and how to use the facts they give

Answer 5

Factorise so you can use the facts

Can split the limit, and take any term out that DOESNR INVOLVE THE LIMITS

And then conclude

Question 6

When is it concave up and concave down

Answer 6

Concave up when second si above zero etc

Draw a chord and if jtsconcave up it will be ABKBE THE LINE , and vice verca

Question 7

How to differntiate wacky wacky functions?

Answer 7

Rememebr rules for ln x , now jus differntiate Implict, rearrange for dy / dx and sub back in, calm