trigonometry
measurement of triangles
2pi
the radians that make up a full circle
360
the degrees that make up a full circle
radians
a number without a notation but referring to an angle is assumed to be in
degrees
° is the symbol for
180/pi
multiply this by a radian to get a degree
pi/180
multiply this by a degree to get a radian
T
T/F angles are measured from the positive side with counter-clockwise being positive angle measurement
are not
The axis (are/are not) included in the quadrants
1
what is the radius of the unit circle
30
the angle with cos = sqrt(3)/2 and
sin = 1/2
45
the angle with cos, sin = sqrt(2)/2
60
the angle with cos = 1/2 and sin = sqrt(3)/2
90
the angle with cos = 0 and sin = 1
0
the angle with cos = 1 and sin = 0
unique
angle measurement is not ____________
they are congruent with any other angle 360* values greater than or less than it
principal value
the value of an angle that falls betweens -180 and 180 degrees (two words)
cos
the x component of the spot where the hypotenuse touches the unit circle
sin
the y component of the spot where the hypotenuse touches the unit circle
2pi
what is the period of sin and cos
1
do
cos and sin (do/do not) repeat values if the interval is [0,2pi]
odd
sin is and ______ function, meaning it is symmetric about the origin
even
cos is and _______ function, meaning is is symmetric about the y axis
sin(Θ+Φ)
sinΘcosΦ + cosΘsinΦ =
cos(Θ+Φ)
cosΘcosΦ - sinΘsinΦ =
sin(Θ-Φ)
sinΘcosΦ - cosΘsinΦ =
cos(Θ-Φ)
cosΘcosΦ + sinΘsinΦ
1
the Limit of sinΘ/Θ as Θ→0
cosΘ
d/dΘ sinΘ =
-sinΘ
d^2/d^2Θ sinΘ =
6
e^(i0) = cos0 + isin0
euler’s formula (use 0 as theta)
okay
Know the law of cosines, how to derive any example of side/hypotenuse into cos(Θ+Φ) and the other formulas, as well as using eulers to derive sum-of-angles