alg Flashcards
(23 cards)
midpoint formul
x-coordinate: x1+x2 divided by 2
y-coordinate: y1+y2 diviided by 2
distance formula
square root of [{x2-x1)^2 + (y2-y1)^2]
circle equation (explain variables
(x-h)^2+(y-k)^2 = r^2
r is the radius
(h,k) is the center
45 45 90 triangle
legs=1 hypotenuse = sqrt of 2
30 60 90 triangle
1, sqrt 3, 2 (in this order for 30,60,90 respectively)
sine
o/h
cosine (cos)
a/h
tangent (tan)
o/a
inverse of sin
csc aka cosecant h/0
inverse of cos
secant aka sec h/a
inverse of tan
cot aka cotangent a/o
remember angle of elevation and depression and inverse trig stuff
ok
standard position
an angle positioned so that its vertex is at the origin and its initial side is along the positive x-axis
initial side
fixed ray of an angle
terminal side
a ray of an angle that rotates about the center
coterminal angles
2 or more angles in standard position that have the same terminal side
there is an – number of coterminal angles
infinite
positive angles
start above x-axis and rotate counterclockwise.
egative anlges
start below x-axis and rotate clockwise
if “find negative coterminal angle of 600 degrees then
keep subtracting 360 until you get a negative number.
how do you find coterminal angles.
add and subtract 360
degrees to r
multiply deg by pi radians over 180 degrees
r to d
multiply number of radians b y 180 over pi radians