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Flashcards in pure Deck (35)
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1

sin2A=?

2sinAcosA

2

cos2A=?

cos squaredA- sin squared A
2cos squared A-1
1-2sin squared A

3

tan2A=?

2tanA/1-tan squared A

4

what is acute?

0-90 degrees

5

what trigs are positive when the angle is acute?

sin cos and tan

6

what is obtuse?

90-180 degrees

7

what trigs are positive when the angle is obtuse?

only sin

8

what is reflex?

180 or more degrees

9

what is the derivative of lnf(x)?

f'(x)/f(x)

10

what is the integral of sinx?

-cosx

11

what is the integral of sin(ax+b)?

-1/a cos(ax+b)

12

what is the integral of cos(x)?

sinx

13

what is the integral of cos(ax+b)?

1/a sin(ax+b)

14

what is the integral of e^x?

e^x

15

what is the integral of e^ax+b?

1/a e^ax+b

16

what is the integral of 1/x?

ln x

17

what is the integral of 1/ax+b?

1/a ln(ax+b)

18

when integrating by substitution how do you choose which part to be u?

Logarithmic
Algebraic
Trigonometric
Exponential

19

circle circumference=?

2πr

20

arc length=?

21

arc area=?

1/2 r squared θ

22

in small angle approximations, sinx=?

x

23

in small angle approximations, cosx=?

1-1/2 x squared

24

in small angle approximations, tanx=?

x

25

what is an arithmetic sequence?

when the difference between 1 term and the next is always the same

26

what is a geometric sequence?

when the ratio of 1 term to the next is always the same.

27

what is a periodic sequence?

it repeats itself at regular intervals

28

what is a series?

the sum of terms in a sequence.

29

what is a deductive definition?

gives a direct formula for the kth term of the sequence in terms of k.

30

what is an inductive definition?

tells you how to find a term in the sequence from the previous term, the definition must also include the first term of the sequence.