Math Final 150 Flashcards
Midpoint
((x2 + x1)/ 2) , ((y2+y1)/2))
Distance
d = sqrt((x2-x1)^2 + (y2-y1)^2)
*all under the square root
Even Roots
> =
If you take out an even number from a variable from a root, what do you put around it?
Nothing
Point Slope Form
(y1-y0) = m(x-x0)
If you take out an odd number from a variable from a root, what do you put around it?
|x| absolute value
Slope Intercept Form
y = mx+ b
Standard Form
Ax + By = C
How to find the magnitude of u?
d = sqrt((x2-x1)^2 + (y2-y1)^2)
- all under the square root
- initial point and final point
How to find the magnitude of v?
First, find the component form (if not given already)
<(x2-x1) , (y2-y1)>
Then, with component form find the magnitude of v
||v|| = sqrt((v1)^2 + (v2)^2)
- All under the square root
If the magnitude of ||v|| = 1
what does that mean?
v is a unit vector
Complex Standard form
z = a + bi
Can log be negative?
No
Quadratic Formula
x = (-b +- sqrt((b^2) - 4ac) ) / 2a
- sqrt end at 4ac
- whole equation is over 2a
How do you find period?
2pi/b
How do you find phase shift?
c/b
csc(theta)
1/sin(theta)
sec(theta)
1/cos(theta)
cot(theta)
1/tan(theta)
tan(theta)
sin(theta)/cos(theta)
cot(theta)
cos(theta)/sin(theta)
cos^2(theta)
= -sin^2(theta) + 1
or
= 1-sin^2(theta)
sin^2(theta)
= -cos^2(theta) + 1
or
= 1-cos^2(theta)
sin^2(theta) + cos^2(theta) =
1
1 + cot^2(theta)
csc^2(theta)
tan^2(theta) + 1
sec^2(theta)
sin(2u)
2sin(u)cos(u)
cos(2u)
= cos^2(u) - sin^2(u)
= 2 cos^2(u) - 1
= 1- 2sin^2(u)
