Core 2 Flashcards
Where does y=cosϴ cross the y axis?
(0,1)
Where does y=sinϴ cross the y axis?
(0,0)
Where does y=tanϴ cross the y axis?
(0,0)
What are the maximum and minimum values of y=cosϴ and y=sinϴ?
Max: 1
Min: -1
What are the maximum and minimum values of y=tanϴ?
Max: ∞
Min: -∞
What is the period of y=cosϴ and y=sinϴ?
360°
What is the period of y=tanϴ?
180°
How do you solve problems with cosϴ?
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
How do you solve problems with sinϴ?
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
How do you solve problems with tanϴ?
Rearrange so tanϴ = a constant
Use tan^-1
Add or subtract 180 to find all values in the range
How do you solve cosϴ, sinϴ and tanϴ problems with numbers in front of ϴ (so xϴ)?
Find all values of xϴ first
Then divide by x
tanϴ =
sinϴ / cosϴ
sin^2ϴ + cos^2ϴ =
1
Recursive Definition
Ur + 1 = Ur + d
U1 = a
Triangle number recursive definition
tr + 1 = tr + r + 1
t1 = 1
Generalised arithmetic recursive definition
Ur = a + (r - 1) d
What does l stand for in Sn = 0.5n (a + l)?
Last term
What do n and r stand for in
n
C
r ?
n: Row you want
r: how far across
Area of a triangle
0.5 ab sin C
Sine rule
sin A / a = sin B / b = sin C / c
When do you use the sine rule?
2 sides, 2 angles
When do you use the cosine rule?
3 sides, 1 angle
What does solve the triangle mean?
Find all missing sides and angles
How do you know which angle in a triangle is the largest?
It’s opposite the longest side
