C1 and C2

Question 1

How to find the gradient of line AB

Answer 1

(y2-y1)/(x2-x1)

Question 2

Find the mid point of AB

Answer 2

(x1+x2)/2 and (y1+y2)/2

Question 3

Find the distance/length of AB

Answer 3

√(x2-x1)^2 + (y2-y1)^2

Question 4

Find the perpendicular gradient of AB

Answer 4

m2 = -1/m1

Question 5

Formula for finding equation of a line

Answer 5

y-y1=m(x-x1)

Question 6

Formula for finding equation of line AB

Answer 6

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

Question 7

What method do you use when finding the intersection of pairs of lines?

Answer 7

Simultaneous Equation

Question 8

How do you know if two lines are parallel?

Answer 8

The gradients will equal each other

Question 9

How do you know if two lines are perpendicular?

Answer 9

Multiplying their gradients will equal -1

m1 * m2 = - 1

Question 10

nCr = …

Answer 10

n! / (n-r)!r!

Question 11

sin θ =

Answer 11

Opposite / Hypotenuse

Question 12

cos θ =

Answer 12

Adjacent / Hypotenuse

Question 13

tan θ =

Answer 13

Opposite / Adjacent

Question 14

What is the sine rule to find side length?

Answer 14

For any triangle ABC:

a/sin A = b/sin B = c/sin C

Question 15

What is the sine rule to find angle?

Answer 15

sin A/a = sin B/b = sin C/c

Question 16

What is the cosine rule to find side length?

Answer 16

a^2 = b^2 + c^2 - 2bc cos A

Question 17

What is the cosine rule to find angle?

Answer 17

cos A = (b^2 + c^2 - a^2)/2bc

Question 18

What is the formula for finding the area of a triangle using sin?

Answer 18

Area =1/2 bc sin A

Question 19

What are the Trig Identities?

Answer 19

1) Sin^2(x) + Cos^2(x) = 1

2) Tan (x) = Sin (x) / Cos (x)

Question 20

Prove that Cos 30 = √3/2. Using an equilateral triangle.

Answer 20

Using Pythag, then using Sohcahtoa.

Check page 98

Question 21

Prove that Sin 45 = 1/√ 2.

Using a right angled triangle

Answer 21

Check page 99

Question 22

How do you find inflection?

Answer 22

Differentiate twice