Core 2

Question 1

How often does a sin graph repeat?

Answer 1

Every 360 degrees (cos does the same)

Question 2

How often does a tan graph repeat?

Answer 2

Every 180 degrees

Question 3

What does sin 45 equal?

Answer 3

1/root2, the same as cos 45

Question 4

What does tan 0 equal?

Answer 4

0

Question 5

What does tan 30 equal?

Answer 5

1/root3

Question 6

What does tan 45 equal?

Answer 6

1

Question 7

What does tan 60 equal?

Answer 7

Root3

Question 8

What does tan 90 equal?

Answer 8

Infinity

Question 9

What is the cosine rule?

Answer 9

a2=b2+c2-2bc cos A

Question 10

If the cosine rule is rearranged to give the angle, what is the new equation?

Answer 10

CosA=(b2+c2-a2)/2bc

Question 11

What is the equation for the sum of an arithmetic sequence?

Answer 11

1/2 n (2a + (n-1) d)

Question 12

What is the equation for the sum of a geometric sequence?

Answer 12

(a (1-r^n)/ 1-r

Question 13

What is the equation for the sum to infinity of a convergent geometric sequence?

Answer 13

a/ 1-r

Question 14

What is the condition for a geometric sequence to be convergent?

Answer 14

-1

Question 15

What is the area of a sector if the angle is in radians?

Answer 15

1/2 r^2 theta

Question 16

What is the arc length when the angle is in radians?

Answer 16

r theta

Question 17

What numbers should you choose from when guessing a cubic factor?

Answer 17

Factors of d/a

Question 18

If (x+a) is not a factor, how do you find the remainder?

Answer 18

Substitute x=-a into the equation, the answer is the remainder

Question 19

What does the graph of y=ln x look like in relation to y=e^x?

Answer 19

A reflection in y=x

Question 20

Where does y=e^x cross the y-axis?

Answer 20

(0,1)