when to use cosine rule - answer2 sides and an angle enclosed by them
all 3 sides no angle
when to use sine rule - answer2 angles any side
2 sides and an angle thats not enclosed by them
inverse functions - answerreplace x's with y's and make everything equal to x
make y the subject
replace the y with f^-1(x)
, y=f(x)+a - answertranslation in the y-axis (move up or down by the amount of a eg. +2 =
move up 2)
y=f(x+a) - answertranslation in the x-axis (but if it says +2 move down 2 ITS
OPPOSITE!!)
y=f(xa) - answerstretch in the x direction (leaving the y values unchanged) by a factor of
1/a
y=f(x/a) - answerstretch in the x direction (leaving the y values unchanged) by a factor
of a
y=-f(x) - answerreflection in the x-axis
y=f(-x) - answerreflection in the y-axis
∉ - answernot a member of a set
∈ - answermember of a set
ξ - answeruniversal set (all the numbers in the Q)
∪ - answerunion (combination of all members of each set in question)
∩ - answerintersect (all numbers that are members of exclusively both sets in question)
' - answerEverything NOT in the set
√a x √b - answer√a x b
√a / √b - answer√a/b
√a + √b - answerDO NOTHING
a/ √b - answera/√b x √b/√b = a√b/b
'exact value' meaning - answersurd form
when to use quadratic formula - answerif it wont factorise
if the question mentions decimal places or significant figures
dividing fractions - answerKEEP TIMES SWITCH- KTS
common denominator is also.... - answersomething both denominators divide into
fibonacci sequence - answeradding together the 2 previous terms
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller sanlly123. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $13.49. You're not tied to anything after your purchase.