finals Flashcards
convert 250 deg to radians
multiply by pie/180
sin -1 in what quadrants
Q1 and Q4
Cos-1 in what quadrants
Q1 and Q2
tan-1 in what quadrants
Q1 and Q4
how do you find amplitude
before the sin
how do you find period
2 pie over B
strategies for trig functions
- write everything in terms of sin and cosine
- factor
- multiply by the conjugate
when to use law or sines
AAS or ASA
when to use law of cosines
SAS or SSS
what do you do for the ambiguous case?
SSA
-check for second solution
-
patterns and steps for binomial expansion
- first write down the coefficient number & and the term number
- the degree of the first term decreases by 1
- degree or second term increases by 1
USE THE EXPONENT GIVEN IN EQUATION
find the partial sum for an arethmetic expression, what formula are you using? ?
Sn=n/2(a1+an)
in an geometric exponential expression when finding the partial sum, what formula?
Sn=a1(1-r^n-1/1-r)
when finding the nth term what do you have to do?
use an=a1•r^n-1 for both terms
- solve for r
- plug into left side for A1
- then put into formula
what formula do you use for finding the sum of the infinite geometric series?
S=a1/1-r
- find difference by doing for example 8/5 TIMES WHAT gives you 16/25
how do you find component form
(X2-X1, Y2-Y1) and then combine like terms
how do you find magnitude
the SQUARE ROOT of the component form
for example v1^2 + v2^2 and then square root
what do you do when finding direction angle?
sin of b/magnitude OR cos of a/magnitude
how do you find UNIT vector
given points over magnitude
find the angle between two vectors
multiply the two points & put them over their magnitudes, then inverse cosine
what do you use sum and difference identities for?
for find the value of X
find the 10th term in a geometric sequence, what formula?
an=a1•r^n-1 and split them in half
find the nth term for a arithmetic sequence
- first find the rule, solve for difference, then find A1
- write the rule & distribute n-1
- set the rule equal to the highest term given and solve for N
when should you use the “s” formulas
when the words “series, summation, and the E thingy is there”
