Graphing Fundamentals Flashcards
“Cici’s Pizza”
Cotangents vertical asymptotes are?
0pi, pi
“Cici’s pizza!”
Cosecants vertical asymptotes are?
0pi, 1pi, 2pi
“Put them twos up!”
Tangents vertical asymptotes are?
-pi/2
pi/2
“Put them two’s up!”
Secants vertical asymptotes are?
-pi/2
pi/2
3pi/2
X values for graphing sine AND cosine?
0, π/2, π, 3 π/2, 2 π
Y value for graphing sine?
0 1 0 -1 0
Y value for graphing cosine? (Hint: use sine)
sine: 0 1 0 -1 0
cosine: 1 0 -1 0 1
Periods of sine, cosine, cosecant, and secant?
2 π/ b
(absolute value of b)
Periods of tangent and cotangent?
π/b
(absolute value of b)
Phase shift is…
-c/b
Vertical shift is…
D
Amplitude equals…
A
Which functions have an amplitude?
Cosine and Sine
Which functions have a vertical aysmptote?
Tangent
Cotangent
Secant
Cosecant
Format of A, B, C, and D in a function?
y= Asin(Bx+C)+D
y=Acos(Bx+C)+D
and so on
Cosine of π/3, 60 degrees?
1/2
Sine of π/3, 60 degrees?
√3/2
Cosine π/4, 45 degrees?
√2/2
Sine π/4, 45 degrees?
√2/2
Sine π/6, 30 degrees?
1/2
Cosine π/6, 30 degrees?
√3/2
Secant π/2
0
Secant π=
-1
Secant 3 π/2
0
Secant(0)=
1
Cosecant (0)=
undefined
Cosecant π/2
1
Cosecant π
undefined
Cosecant 3 π/2
-1
Fundamental Identity: Tan and Sec?
sec^2-tan^2=1
Fundamental Identity: Sin and Cos?
sin^2+cos^2=1
Fundamental Identity: Cotangent and Cosecant?
Csc^2-cot^2=1
Arc length theorem?
s=rθ
Sector area in radians?
A= 1/2 (r^2θ)
Sector area (in degrees)?
( θ/360) πr^2
1 minute in degrees?
1/60 of a degree
1 second in degrees?
1/3600 degrees
1 minute is represented by
1’
1 second is represented by
1’’
