PCC MTH 112 Midterm Flashcards

Terms Definitions
Signs for X (Cosine) and Y (Sine) in Quadrant 1 (0-90 degrees)
Q1 = X+, Y+
Signs for X (Cosine) and Y (Sine) in Quadrant 2 (91-180 degrees)
Q2 = X-, Y+
Signs for X (Cosine) and Y (Sine) in Quadrant 3 (181-270 degrees)
Q3 = X-, Y-
Signs for X (Cosine) and Y (Sine) in Quadrant 4 (271-360 degrees)
Q4 = X+, Y-
Radian equivalent to 360 degrees
2 pi radians = 360 degrees
Cosine identity for Sine
cos(angle) = sin (angle + pi/2)
Sine identity for Cosine
sin(angle) = cos (angle - pi/2)
Cosine identity for Cosine
Cos (-angle) =
cos(-angle) = cos (angle)
Sine identity for Sine
Sin(-angle)=
sin(-angle) = -sin (angle)
Sine identity for Sine - Reference angle
sin(angle) = sin (pi - angle)
Cosine definition
cos(angle) = x/r, adjacent/hypotenuse
Sine definition
sin(angle) = y/r, opposite/hypotenuse
Tangent defintion
tan(angle) = y/x, sin(angle)/cos(angle), opposite/adjacent
Secant definition
sec(angle) = 1/cos(angle) = hypotenuse/adjacent = r/x
Cosecant defintion
csc(angle) = 1/sin(angle) = hypotenuse/opposite = r/y
Cotangent definition
cot(angle) = 1/tan(angle) = adjacent/opposite = x/y
Sinusoidal function format
y = A sin (B(t-h)) + k
Cosine, Sine for 0 degrees:0 radians
Cos (0 degrees) = 1, Sin (0 degrees)=0
Cosine, Sine for 30 degrees:pi/6 radians
Cos (30 degrees) = sqrt(3)/2, Sin (30 degrees) = 1/2
Cosine, Sine for 45 degrees:pi/4 radians
Cos (45 degrees) = sqrt(2)/2, Sin (45 degrees) = sqrt(2)/2
Cosine, Sine for 60 degrees:pi/3 radians
Cos (60 degrees) = 1/2, Sin (60 degrees) = sqrt(3)/2
Cosine, Sine for 90 degrees:pi/2 radians
Cos (90 degrees) = 0, Sin (90 degrees) = 1
Cosine, Sine for 120 degrees:2pi/3 radians
Cos (120 degrees) = -1/2, Sin (120 degrees) = sqrt(3)/2
Cosine, Sine for 135 degrees:3pi/4 radians
Cos (135 degrees) = -sqrt(2)/2, Sin (135 degrees) = sqrt(2)/2
Cosine, Sine for 150 degrees:5pi/6 radians
Cos (150 degrees) = -sqrt(3)/2, Sin (150 degrees) = 1/2
Cosine, Sine for 180 degrees:pi radians
Cos (180 degrees) = -1, Sin (180 degrees) = 0
Cosine, Sine for 210 degrees:7pi/6 radians
Cos (210 degrees) = -sqrt(3)/2, Sin (210 degrees) = -1/2
Cosine, Sine for 225 degrees:5pi/4 radians
Cos (225 degrees) = -sqrt(2)/2, Sin (225 degrees) = -sqrt(2)/2
Cosine, Sine for 240 degrees:4pi/3 radians
Cos (240 degrees) = -1/2, Sin (240 degrees) = -sqrt(3)/2
Cosine, Sine for 270 degrees:3pi/2 radians
Cos (270 degrees) = 0, Sin (270 degrees) = -1
Cosine, Sine for 300 degrees:5pi/3 radians
Cos (300 degrees) = 1/2, Sin (300 degrees) = -sqrt(3)/2
Cosine, Sine for 315 degrees:7pi/4 radians
Cos (315 degrees) = sqrt(2)/2, Sin (315 degrees) = -sqrt(2)/2
Cosine, Sine for 330 degrees:11pi/6 radians
Cos (330 degrees) = sqrt(3)/2, Sin (330 degrees) = -1/2
/ 33
Term:
Definition:
Definition:

Leave a Comment ({[ getComments().length ]})

Comments ({[ getComments().length ]})

{[comment.username]}

{[ comment.comment ]}

View All {[ getComments().length ]} Comments
Ask a homework question - tutors are online