trig Flashcards
in(a-b)
sin(a)cos(b)-sin(b)cos(a)
sin(a+b)
sin(a)cos(b)+sin(b)cos(a)
cos(a-b)
cos(a)cos(b)+sin(a)sin(b)
cos(a+b)
cos(a)cos(b)-sin(a)sin(b)
tan(a-b)
(tan(a)-tan(b))/(1+tan(a)*tan(b))
in what situations is tan(a-b) used
to find w (angle between 2 lines)
sin(2a)
2sin(a)*cos(a)
cos(2a)
cos^2(a) - sin^2(a)
pythagorean theorem for sin and cos
cos^2(a)+sin^2(a)=1
how do you find a line alpha angle (a) when you have angle of inclination (x)
when angle of inclination (x) is greater than 90, find it through tan inverse of the slope and then subtract that from 180
what is sin inverse D and R
D: [-1,1] R: [-pi/2,pi/2]
what is cosine inverse D and R
D: [-1,1] R: [0,pi]
what is tan inverse D and R
D: all real R:[-pi/2,pi/2]
sin(-x)=?
-sin(x)
cos(-x)=?
cos(x)
what is tangent at a horizontal line? what is tangent at a vertical?
H: 0 V: undefined
one triangle
a equal to sinA
a> or equal to c
two triangle
c>a>csinA
0 triangle
a<csinA
Area equations
A=1/2bh
A=1/2bc*sinA
