Trigonometry Flashcards
1
Q
1 Radian =
A
Angle in a sector of radius 1 and arc length 1
around 57.3°
2
Q
π radians
A
180°
3
Q
radians to degrees
A
multiply by 180/π
4
Q
length of arc in radians
A
l = rθ
5
Q
area of sector in radians
A
A = 1/2 x r^2 x θ
6
Q
sine rule
A
a/sinA = b/sinB or
sinA/a = sinB/b
7
Q
cosine rule
A
c^2 = a^2 + b^2 - 2abcosC
8
Q
area of triangle using sine
A
Area = 1/2 x absinC
9
Q
cosecx, secx, cotx
A
1/sin, 1/cos, 1/tan
10
Q
Unit circle quadrants
A
ASTC -> Arthur Slaps Thomas Curra
11
Q
sin0, 30, 45, 60, 90
A
0, 1/2, rt2/2, rt3/2, 1
12
Q
cos0, 30, 45, 60, 90
A
1, rt3/2, rt2/2, 1/2, 0
13
Q
y = sinx + a
A
vertical translation by a units upwards
14
Q
y = sin(x+a)
A
horizontal translation to the left
15
Q
y = asinx
A
vertical stretch by a units
a is the amplitude
16
Q
y = sinx/a
A
horizontal stretch by a units
17
Q
A
