Core 2

Question 1

Where does y=cosϴ cross the y axis?

Answer 1

(0,1)

Question 2

Where does y=sinϴ cross the y axis?

Answer 2

(0,0)

Question 3

Where does y=tanϴ cross the y axis?

Answer 3

(0,0)

Question 4

What are the maximum and minimum values of y=cosϴ and y=sinϴ?

Answer 4

Max: 1
Min: -1

Question 5

What are the maximum and minimum values of y=tanϴ?

Answer 5

Max: ∞
Min: -∞

Question 6

What is the period of y=cosϴ and y=sinϴ?

Answer 6

360°

Question 7

What is the period of y=tanϴ?

Answer 7

180°

Question 8

How do you solve problems with cosϴ?

Answer 8

Rearrange so cosϴ = a constant
Use cos^-1
Use cos-ϴ to find second value
Add or subtract 360 to find all values in the range

Question 9

How do you solve problems with sinϴ?

Answer 9

Rearrange so sinϴ = a constant
Use sin^-1
Use 180-ϴ to find second value
Add or subtract 360 to find all values in the range

Question 10

How do you solve problems with tanϴ?

Answer 10

Rearrange so tanϴ = a constant
Use tan^-1
Add or subtract 180 to find all values in the range

Question 11

How do you solve cosϴ, sinϴ and tanϴ problems with numbers in front of ϴ (so xϴ)?

Answer 11

Find all values of xϴ first

Then divide by x

Question 12

tanϴ =

Answer 12

sinϴ / cosϴ

Question 13

sin^2ϴ + cos^2ϴ =

Answer 13

1

Question 14

Recursive Definition

Answer 14

Ur + 1 = Ur + d

U1 = a

Question 15

Triangle number recursive definition

Answer 15

tr + 1 = tr + r + 1

t1 = 1

Question 16

Generalised arithmetic recursive definition

Answer 16

Ur = a + (r - 1) d

Question 17

What does l stand for in Sn = 0.5n (a + l)?

Answer 17

Last term

Question 18

What do n and r stand for in
n
C
r ?

Answer 18

n: Row you want
r: how far across

Question 19

Area of a triangle

Answer 19

0.5 ab sin C

Question 20

Sine rule

Answer 20

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

Question 21

When do you use the sine rule?

Answer 21

2 sides, 2 angles

Question 22

When do you use the cosine rule?

Answer 22

3 sides, 1 angle

Question 23

What does solve the triangle mean?

Answer 23

Find all missing sides and angles

Question 24

How do you know which angle in a triangle is the largest?

Answer 24

It’s opposite the longest side