Maths Pure 2 Flashcards by Robyn Lindeque | Brainscape

Q

30, 40, 60

A

P/6 , p/4, p/3

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Sin p/6, p/4, p/3

A

1/2 , 1/root 2, root 3/2

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Cos p/6, p/4, p/3

A

Root 3/2, 1/ root 2, 1/2

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Tan p/6, p/4, p/3

A

1/root 3, 1, root 3

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Arc

A

Radius x angle

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Sector

A

0.5 x radius^2 x angle

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Segment

A

0.5 x radius^2(angle-sin angle)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Small angle approximations

A

Sin angle to angle

Cos angle to 1-0.5angle^2

Tan angle to angle

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Identities for reciprocal angle

A

Tan^2x + 1 = sec^2x

Cot^2x + 1 = cosec^2x

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Arithmetic Sequences

A

Un = 1st term + (n-1) d

Sn = n/2 (2a + (n-1)d)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Geometric Sequence

A

Un = ar^(n-1)

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

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Double Angle Formulae

A

Sin 2ø to 2sinøcosø

Cos2ø to :

cos^2ø - sin^2ø
2cos^2ø - 1
1 - 2sin^2ø

Tan2ø to (2tanø)/(1-tan^2ø)

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Diff: sinx

A

Cos x

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Diff: cos x

A

-sinx

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Diff: e^kx

A

ke^kx

How well did you know this?

1

Not at all

2

3

4

5

Perfectly

Q

Diff: a^kx

A

a^x k lna

Q

Diff: lnx

A

1/x

Q

Chain rule

A

Dy/dx = dy/du x du/dx

Q

Product rule

A

y = uv

Dy/dx = u dv/dx + v du/dx

Q

Quotient rule

A

y= uv

Dy/dx = (v du/dx - u dv/dx) / v^2

Q

Diff: tankx

A

K sec^2 kx

Q

Diff: coseckx

A

-k coseckx cotkx

Q

Diff: seckx

A

K secks tankx

Q

Diff: cotkx

A

-k cosec^2kx

Q

Diff: arcsinx

A

1/root(1-x^2)

Q

Diff: arc cosx

A

-1/root(1-x^2)

Q

Diff: arctanx

A

1/(1+x^2)

Q

Implicit Differentiation

A

D(f(y))/dx = f’(y) dy/dx

Q

Second Derivative

A

F’’(x) <= 0
Concave/max

= 0
Concave, point of inflection, convex

> = 0
Convex/min

Q

Newton Raphson Method

A

X n+1 = X n - (f(x n)/f’(x n))

Q

Order of transformation

A

Inside bracket then outside bracket

Inside: translation, then stretch

Outside: stretch, then translation