Answer to Unit 1 revision Q 1

Answer to Unit 1 revision Q 1

•A line which cuts the given line in half at 90o


•(i) find the mid pointof BC. Call it M

(ii) find the gradient of AM(iii) use y-b = m(x-a)

A

BCM


•Simultaneous equations


•undefined

x

y


•y – b = m(x – a)

x

y

(a,b)


•The gradient of the line and a point on the line

x

y

(a,b)m

1


•0

x

y


•m = tan Θ

x

y

ΘΘ


•Divide by 180 and multiply by π


•A line from a vertex, perpendicular to the opposite side


•(i) rearrange to sinx =(ii) decide on 2 quadrants(iii) ignore any –ve and press INV sin to get angle(iv) work out two answers


•x = logay


•(i) draw triangle(ii) use Pythagoras

to fill in missing side(iii) read values off triangle using SOHCAHTOA

a

b

xx


•move graph up 3


•(1,0) and (a,1)


•Reflect the graph in the x-axis


• (i) differentiate(ii) show that f’(x)

is always negative e.g. –(x+a)2 , x = a


•nxn-1


•-1 < a < 1


(i) differentiate(ii) let f’(x) = 0(iii) solve to find

stationary points(iv) find y-coordinates(v)draw nature table


•(i) differentiate(ii) show that f’(x) is

always positive e.g. (x+a)2 , x =

a


•Reflect y = f ( x )in the y axis.


• cos x = ±√3 2x =300,1500,2100or

3300


•x ( x – 6 )( x + 4 ) = 0

so x = 0, x = 6 or x = 4

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