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Flashcards in pure Deck (35)
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1
Q

sin2A=?

A

2sinAcosA

2
Q

cos2A=?

A

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

3
Q

tan2A=?

A

2tanA/1-tan squared A

4
Q

what is acute?

A

0-90 degrees

5
Q

what trigs are positive when the angle is acute?

A

sin cos and tan

6
Q

what is obtuse?

A

90-180 degrees

7
Q

what trigs are positive when the angle is obtuse?

A

only sin

8
Q

what is reflex?

A

180 or more degrees

9
Q

what is the derivative of lnf(x)?

A

f’(x)/f(x)

10
Q

what is the integral of sinx?

A

-cosx

11
Q

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

A

-1/a cos(ax+b)

12
Q

what is the integral of cos(x)?

A

sinx

13
Q

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

A

1/a sin(ax+b)

14
Q

what is the integral of e^x?

A

e^x

15
Q

what is the integral of e^ax+b?

A

1/a e^ax+b

16
Q

what is the integral of 1/x?

A

ln x

17
Q

what is the integral of 1/ax+b?

A

1/a ln(ax+b)

18
Q

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

A

Logarithmic
Algebraic
Trigonometric
Exponential

19
Q

circle circumference=?

A

2πr

20
Q

arc length=?

A

21
Q

arc area=?

A

1/2 r squared θ

22
Q

in small angle approximations, sinx=?

A

x

23
Q

in small angle approximations, cosx=?

A

1-1/2 x squared

24
Q

in small angle approximations, tanx=?

A

x

25
Q

what is an arithmetic sequence?

A

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

26
Q

what is a geometric sequence?

A

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

27
Q

what is a periodic sequence?

A

it repeats itself at regular intervals

28
Q

what is a series?

A

the sum of terms in a sequence.

29
Q

what is a deductive definition?

A

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

30
Q

what is an inductive definition?

A

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.

31
Q

what range is the normal binomial expansion valid for?

A

-1

32
Q

WHEN PROVING SIN X HAS NO REAL SOLUTIONS SAY…

A

SIN X IS ONLY DEFINED FOR -1

33
Q

If each term in the binomial expansion is positive what does that mean?

A

The estimated value (based on not all the terms eg up to x awaited) is an underestimate- bc increasing no of terms increases result.

34
Q

WHEN IT SAYS SET OF VALUES WHAT DO U DO

A

WRITE IT IN SET NOTATION

35
Q

WHEN USING ALGEBRA TO SOLVE A PROBLEM REMEMBER TO

A

DEFINE UR VARIABLES!!