Chapter 5.1, 5.2, 6.1, 6.2 Test Flashcards
SinT
y
CosT
x
TanT
y/x
CscT
1/y
SecT
1/x
cotT
1/(y/x)
0 degrees
(0), (1,0)
30 degrees
(pi/6), (root3/2, 1/2)
45 degrees
(pi/4), (root2/2, root2/2)
60 degrees
(pi/3), (1/2, root3/2)
90 degrees
(pi/2), (0,1)
sin(-T)
-sinT (odd)
cos(-T)
cosT (even)
tan(-T)
-tanT (odd)
csc(-T)
-cscT (odd)
cot(-T)
-cotT (odd)
sec(-T)
secT (even)
pi Radians
180 degrees
2pi Radians
360 degrees
pi/2 Radians
90 degrees
To convert degrees to radians:
multiply by 180/pi
To convert radians to degrees:
multiply by pi/180
Length of a circular Arc
(angle/2pi)x(circumference of circle) OR (angle)x(radius)
Area of a Sector
1/2(radius^2)(angle)
Angular Speed
angle/time
Linear Speed
arc length/time
Sin(angle)
opposite/hypotenuse
Cos(angle)
adjacent/hypotenuse
Tan(angle)
opposite/adjacent
Cot(angle)
adjacent/opposite
Csc(angle)
hypotenuse/opposite
Sec(angle)
hypotenuse/adjacent
Angles: (45, 45, 90) Sides:
(1, 1, root2)
Angles: (30, 60, 90) Sides:
(root3, 1, 2)