MIDTERM- ADVANCED ALGEBRA TRIG
Terms
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- numbers that make the denominator equal zero
- vertical asymptote
- the degree of the top is bigger than that of the bottom
- no horizontal asymptote, go for slant asymptotes
- the degrees of the top and bottom are the same
- the horizontal asymptote is the coefficients
- the top degree is less than the bottom
-
y = 0
an asymptote on the x-axis - how to find a slant asymptote
-
use synthetic division of the bottom into the top
y = solution of the division, graph the line - terms in the top and bottom cancel each other out
- there exists a hole at x = number
- a rational function is
- a function written as a fraction
- y = square root of x
- half a sideways parabola
- y = |x|
- a V at x
- y = 1/x
- asymptotes
- tan
- y / x
- csc
- 1 / sin
- sec
- 1 / cos
- cot
- x/y
- sin
- y
- cos
- x
-
triangle:
height formula - bsinA
-
triangle:
cos A formula - cosA = b^2+c^2-a^2/2bc
-
triangle:
a^2 formula - a^2=b^2+c^2-2bccosA
-
Hero's formula:
two parts -
if s= 1/2(a+b+c), then
√[s(s-a)(s-b)(s-c)] - No triangle
- h>a
- one triangle
-
a = h
-OR-
a>b - two triangles
- h<a<b
-
Obtuse:
No triangle - a ≤ b
-
Obtuse:
one triangle - a > b