finals Flashcards

1
Q

convert 250 deg to radians

A

multiply by pie/180

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2
Q

sin -1 in what quadrants

A

Q1 and Q4

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3
Q

Cos-1 in what quadrants

A

Q1 and Q2

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4
Q

tan-1 in what quadrants

A

Q1 and Q4

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5
Q

how do you find amplitude

A

before the sin

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6
Q

how do you find period

A

2 pie over B

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7
Q

strategies for trig functions

A
  • write everything in terms of sin and cosine
  • factor
  • multiply by the conjugate
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8
Q

when to use law or sines

A

AAS or ASA

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9
Q

when to use law of cosines

A

SAS or SSS

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10
Q

what do you do for the ambiguous case?

A

SSA
-check for second solution
-

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11
Q

patterns and steps for binomial expansion

A
  • 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
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12
Q

find the partial sum for an arethmetic expression, what formula are you using? ?

A

Sn=n/2(a1+an)

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13
Q

in an geometric exponential expression when finding the partial sum, what formula?

A

Sn=a1(1-r^n-1/1-r)

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14
Q

when finding the nth term what do you have to do?

A

use an=a1•r^n-1 for both terms

  • solve for r
  • plug into left side for A1
  • then put into formula
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15
Q

what formula do you use for finding the sum of the infinite geometric series?

A

S=a1/1-r

- find difference by doing for example 8/5 TIMES WHAT gives you 16/25

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16
Q

how do you find component form

A

(X2-X1, Y2-Y1) and then combine like terms

17
Q

how do you find magnitude

A

the SQUARE ROOT of the component form

for example v1^2 + v2^2 and then square root

18
Q

what do you do when finding direction angle?

A

sin of b/magnitude OR cos of a/magnitude

19
Q

how do you find UNIT vector

A

given points over magnitude

20
Q

find the angle between two vectors

A

multiply the two points & put them over their magnitudes, then inverse cosine

21
Q

what do you use sum and difference identities for?

A

for find the value of X

22
Q

find the 10th term in a geometric sequence, what formula?

A

an=a1•r^n-1 and split them in half

23
Q

find the nth term for a arithmetic sequence

A
  • 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
24
Q

when should you use the “s” formulas

A

when the words “series, summation, and the E thingy is there”