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Area of Rectangle
A = lw
Area of Circle
A=πr²
Area of Triangle
A=(bh)/2
Area of a trapezoid
=(1/2)h(b1+b2)
Volume of Cone
1/3πr²h
Volume of Cylinder
V=πr²h
Volume of Sphere
= 4/3πr³
Volume of a rectangular prism
V=lwh
Volume of rectangular pyramid
V=(1/3)lwh
Volume of a triangular prism
(bh/2)h
Volume of a triangular pyramid
V=(1/3)(bh/2)h
Surface Area of a Sphere
= 4πr²
Hemisphere
V=1/2(4/3πr³)
Density
=m/v
Population Density
= tp/a
equation of the trigonometric graph.
y= amplitude sin( ) midline
amplitude
count spaces
midline
the horizontal line midway between the maximum and minimum values of a function.
periods from the right in order
π/2, π, 3π/2, 2π,
period of the graph
(The x-value where the first cycle is completed)
how to convert degrees to radians.
Convert by multiplying by pi/180, Combine fractions by multiplying across, reduce fraction to simplest form
Converting Radians to Degrees
replace radian π with (180), divide by bottom number
cos
x value
sin
y value
location of piπ radians
0 or 2π, π/2, π, 3π/2
Find Coordinate on Unit Circle
Use the pythagorean theorem . hypotenuse will ALWAYS be 1. and to check if its positive or negative, see what the x or y is in the quadrants. Simplify radical
Rotate the point to within 10degrees∘.
Positive Angle→Counter-Clockwise (up)
Negative Angle→Clockwise (down)
graphs are diff btw, pos normal, neg backwards
Determine Period from Trig Equation
2pi/1 x whatever the thing in parentheses with x next to it,
Formula for Arc Length
radius times angle or you divide. if you have no angle, divide radius by other side
Simple Sentence
Contains one independent clause and no subordinate clauses.
Compound Sentence
Contains two or more independent clauses joined by a coordinating conjunction (for, and, nor, but, or, yet, so) or a semicolon.
Complex Sentence
Contains one independent clause and one or more subordinate clauses
Compound-Complex Sentence
Contains two or more independent clauses and at least one subordinate clause.
noun clauses
Begin with words like that, what, who, whom, whoever, whatever, how, why, when, where, whether, if.
linking verbs
predicate nominative or predicate adjective
action verbs
indirect object or direct
adjective clause modifies
the word infront of it
adjective clause
who, whom, whose, which, that, where, when, why, which one, what kind,
adverb clause
answers Why? When?Where? How? To what extent? Under what condition?