C4

Question 1

When p(X) is divided by (bx-a), what is the remainder?

Answer 1

p(b/a)

Question 2

p(x)/ d(x) =

Answer 2

q(x) + (R(x)/d(x))

Question 3

Translation (a/b) of parametric graph

Answer 3

Add a to X and b to y

Question 4

Stretch in X direction of parametric equation

Answer 4

Multiply X by the factor

Question 5

Stretch in y of parametric equation

Answer 5

Multiply y by the factor

Question 6

Reflect in y of parametric equation

Answer 6

Multiply x by -1

Question 7

Reflect in X of parametric equations

Answer 7

Multiply y by -1

Question 8

Curve X=rcos🔘, y=rsin🔘

Answer 8

Circle
Radius = r
Centre = origin

Question 9

Curve X=acos🔘, y=bsin🔘

Answer 9

An ellipse
Centre = origin
Width = 2a
Height = 2b

Cartesian equation: x^2/a^2 + y^2/b^2 = 1

Question 10

Sin(A+B)=

Answer 10

SinAcosB + cosAsinB

Question 11

Sin(A-B) =

Answer 11

SinAcosB- cosAsinB

Question 12

cos(A+B)=

Answer 12

cosAcosB- sinAsinB

Question 13

cos(A-B)=

Answer 13

cosAcosB + sinAsinB

Question 14

tan(A+B) =

Answer 14

(TanA + tanB)/ (1- tanAtanB)

Question 15

tan(A-B) =

Answer 15

(tanA - tanB)/ (1+ tanAtanB)

Question 16

Sin2A =

Answer 16

2sinAcosA

Question 17

Cos2A =

Answer 17

Cos^2 A - sin^2 A
= 2cos^2 A - 1
= 1- 2sin^2 A

Question 18

Tan2A =

Answer 18

(2tanA)/ (1-tan^2 A)

Question 19

asinx + bcosx =

Answer 19

=rsin(x+ &) where a=rcos& and b=rsin&

=rcos(x-&) where a=rsin& and b=rcos&

Question 20

asinx - bcosx

Answer 20

= rsin(x-&) where a=rcos& and b=rsin&

=rcos(x+&) where a= -rsin& and b= -rcos&