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Title: Pre Calculus
Description: This is my honors precalculus semester 1 overview. Should provide all necessary formulas and concepts.
Description: This is my honors precalculus semester 1 overview. Should provide all necessary formulas and concepts.
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To Study
Ambiguous Case
Topics
Chapters
● 6, 7, 8, 9, 12
● 6
○ using functions and doing operations with them (composite, adding, multiplication)
○ simplify irrational functions
○ solving radical equations and inequalities
○ graphing radical functions and inequalities
○ find and graph a function’s inverse
● 8
○ Simplify and factor fractions
○ Perform operations on complex fractions
○ Graph rational functions
○ Solve rational equations
○ Variations
Graphs
● Rational Functions (Chapter 8)
○ Components: VA, HA, SA, Holes, x&y intercepts, D&R, Additional Pts
...
, Minor and Major Axis,
● Parabolas
○ Components: Focus Pts
...
● Unit Circle
● Trigonometric Functions
○ sine, cosine, tan, cosecant, secant, cotangent
● Radical Functions and Inequalities
○ Shading, start point, behavioral statements, asymptotes
Problems
● Logs
○ Know: formulas, conversions, e, application problems
● Unit Circle/ Chapter 12
○ Exact values, all six functions, graphing functions, degree/radian conversion,
coterminal/complementary/supplementary angles, Quadrants, solving triangles,
angular/linear velocity, law of sines, law of cosines
● Root Conversions
○ add and subtract exponents, convert from root to fraction form, simplify, compositions
Formulas
Compounding Interest
V(t)= P(1+r/n)nt
Continuous (population)
V(t)= Pert
Half Life
A(t)=A t/n
(½)
o
Distance, Midpoint, and Slope
Ellipse Standard Form
(xh)2
x
/r 2
+ (yk)2
y
/r 2
Ellipse Focal Point
c2
x y
= |r 2 2
r |
Hyperbola Standard Form
(xh)2
x
/r 2
(yk)2
y
/r 2
Hyperbola Focal Point
c2
x y
= |r 2 2
+r |
Hyperbola Slope
m= ry x
/ r
Circle Standard Form
r2
= (xh)2
+ (yk)2
Parabola Standard Form
4p(yk)= (xh)2
Parabola Vertex Form
y = a(xh)2
+k
Law of Cosines
a2 2 2
= b + c 2bc(cosA)
b2 2 2
= a + c 2ac(cosB)
c2 2 2
= a + b 2ab(cosC)
Law of Sines
sinA/ A = sinB/ B = sinC/ C
Area Formula
A = 1/2bc(sinA) = 1/2 ac(sinB) = 1/2ab(sinC)
Heron’s Area Formula
Title: Pre Calculus
Description: This is my honors precalculus semester 1 overview. Should provide all necessary formulas and concepts.
Description: This is my honors precalculus semester 1 overview. Should provide all necessary formulas and concepts.