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Area of Rectangle

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?