Higher Maths Formula

Question 1

To work out sin×=sinx for below 180

Answer 1

Sinx=sin(180-x)

Question 2

To work out sinx=sinx for above 180

Answer 2

Sinx=sinx(540-x)

Question 3

To work out cosx=cosx

Answer 3

Cosx=cos(360-x)

Question 4

Height

Answer 4

= sin

Question 5

Width

Answer 5

= cos

Question 6

Tangent

Answer 6

Gradient

Question 7

Tan x= tanx

Answer 7

Tanx=tan(180+x)

Question 8

Mid point

Answer 8

X1 + X2/ 2, y1+y2/2

Question 9

Distance between two points

Answer 9

Square root of (x-x2)² + (y-y2)²

Question 10

When two circles touch at one point Externally

Answer 10

D=r¹+r²

Question 11

Two circles touch Internally

Answer 11

D=r¹-r²

Question 12

Circles intersect at two points

Answer 12

D<r¹+r²

Question 13

When points don’t touch

Answer 13

D>r¹+r²

Question 14

When there is two real and distinct roots

Answer 14

B² - 4ac >0

Question 15

When there is one real reapted rootsb

Answer 15

If b² - 4ac =0

Question 16

When there are no real roots

Answer 16

B² - 4ac <0

Question 17

For the domain the bottom part of the fraction

Answer 17

≠0

Question 18

For the domain the square root

Answer 18

> or equal to 0

Question 19

Domain

Answer 19

X

Question 20

Range

Answer 20

Y

Question 21

What’s the domain for a exponential function

Answer 21

X is a real number

Question 22

What’s the range for a exponential function

Answer 22

> 0

Question 23

Stationery point at

Answer 23

Dy/dx =0