3 geometry and trigonometry Flashcards
(36 cards)
1
Q
cos 60
A
1/2
2
Q
sin 45
A
1/root 2
3
Q
tan 45
A
1
4
Q
cos 30
A
root 3 / 2
5
Q
sin 90
A
1
6
Q
tan 30
A
1 / root 3
7
Q
cos 120
A
-1/2
8
Q
tan 120
A
- root 3
9
Q
pi/6
A
30
10
Q
pi/4
A
45
11
Q
pi/3
A
60
12
Q
pi/2
A
90
13
Q
cos ² x + sin ² x =
A
1
14
Q
sin2x =
A
2sinxcosx
15
Q
cos ²x - sin ²x =
A
cos2x
16
Q
2cos ²x - 1 =
A
cos2x
17
Q
1 - 2sin ²x =
A
cos2x
18
Q
arc length
A
r Θ
19
Q
area of sector
A
1/2 r² Θ
20
Q
radians to degrees
A
x x 180
————
pi
21
Q
degrees to radians
A
x x pi
————
180
22
Q
volume of a cone
A
1/3 pi r ² h
23
Q
curved surface area of cone
A
pi r l
24
Q
volume of pyramid
A
1/3 x base area x height
25
SA of sphere
4 pi r ²
26
volume of sphere
4/3 x pi x r cubed
27
volume of cylinder
pi r ² h
28
curved SA of cylinder
2 pi r h
29
longest diagonal of cuboid
(all square roofed)
| length ² + width ² + height ²
30
gradient of a straight line
y2 - y1
——————
x2 - x1
31
distance of a straight line
(all square rooted)
| (x2-x1) ² + (y2-y1) ²
32
midpoint of a line
x1 + x2 y1 + y2
(———— ) , (————)
2 2
33
volume of a right pyramid
1/3 x base area x height
34
cosine rule
a ² = b ² + c ² - 2bc cosA
35
area of a triangle
1/2 a b sinC
36
cosA =
b ² + c ² - a ²
———————
2bc
