Download Special Factoring ( )( ) ( ) ( ) ( )( ) ( )( ) Converting Between Degree

Special Factoring
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Arc Length and Angular Speed
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Dimensional analysis conversion factors
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Converting Between Degree & Radian Measure
To convert from degree to radian measure,
multiply by
To convert from radian to degree measure,
multiply by
Variables
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Trig Functions of an Acute Angle
Trigonometric Identities
Reciprocal Identities
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Cofunction Identities
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Ratio Identities
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Odd-Even Identities
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Double-Angle Identities
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Pythagorean Identities
Half-Angle Identities
√
√
√
Sum and Difference Identities
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Solving Triangles
Law of Sines
Law of Cosines
Area of a Triangle
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Vectors
The component form of ⃗⃗⃗⃗⃗ with
The magnitude of a vector
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with component form 〈
) is ⃗⃗⃗⃗⃗
〉 is |⃗ |
〈
〉
√
〉 is given by
The reference angle for the direction angle of the vector 〈
. Figure out
which quadrant this angle should be in and measure the angle counterclockwise from the positive x-axis.
The horizontal component of the vector 〈
The vertical component of the vector 〈
Vector Addition/Subtraction: If ⃗
⃗ , then
is a vector and
⃗
|⃗ |
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〉, the scalar product of
〈
〉 and
〈
〉, then ⃗
and
is
〈
〉
〈
⃗
〈
〉. The vector
is a
〉.
is a unit vector (vector with magnitude 1) in the direction of .
〈
The dot product of two vectors ⃗
If
〉 is
〈
For a real number and a vector
scalar multiple of the vector .
If
〉 is
〉 and
〈
is the angle between two nonzero vectors ⃗ and , then
〉 is ⃗ ⃗
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⃗⃗ ⃗
|⃗⃗ ||⃗ |
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Trigonometric Form of Complex Numbers
, where
√
, where
A complex number
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can be written in trigonometric form as
is the modulus of and direction angle
√
is referred to as the argument.