Higher Maths Formula Flashcards

1
Q

To work out sin×=sinx for below 180

A

Sinx=sin(180-x)

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2
Q

To work out sinx=sinx for above 180

A

Sinx=sinx(540-x)

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3
Q

To work out cosx=cosx

A

Cosx=cos(360-x)

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4
Q

Height

A

= sin

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5
Q

Width

A

= cos

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6
Q

Tangent

A

Gradient

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7
Q

Tan x= tanx

A

Tanx=tan(180+x)

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8
Q

Mid point

A

X1 + X2/ 2, y1+y2/2

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9
Q

Distance between two points

A

Square root of (x-x2)² + (y-y2)²

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10
Q

When two circles touch at one point Externally

A

D=r¹+r²

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11
Q

Two circles touch Internally

A

D=r¹-r²

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12
Q

Circles intersect at two points

A

D<r¹+r²

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13
Q

When points don’t touch

A

D>r¹+r²

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14
Q

When there is two real and distinct roots

A

B² - 4ac >0

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15
Q

When there is one real reapted rootsb

A

If b² - 4ac =0

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16
Q

When there are no real roots

A

B² - 4ac <0

17
Q

For the domain the bottom part of the fraction

A

≠0

18
Q

For the domain the square root

A

> or equal to 0

19
Q

Domain

A

X

20
Q

Range

A

Y

21
Q

What’s the domain for a exponential function

A

X is a real number

22
Q

What’s the range for a exponential function

A

> 0

23
Q

Stationery point at

A

Dy/dx =0