Module 2 Study- Trigonometry
Order of Transformations
RST- Reflection/Stretch/Translation
Frequency
Reciprocal of Period
Reciprocal of Sine and Cosine
Sin: 1/y Cos: 1/x
Prove it's not a function
1) Doesn't pass vertical line test 2) An X value has 2 Y values
Prove Sec(x) * Sin(x)= Tan (x)
1) Fill in on complicated side 1/cos(x) * sin(x)/1= sin/cos = tan(x)
If cos (A) = √3/2 and A is in quadrant 1, find Sin (A) WITH IDENTITIES SUCKER
1/2
If Sin (A)= .6 and A is in Quadrant 11, Find Cos (A)
1/8?
To find undefined...
1/cos (π/2) in calc *example*
How to pick out one cycle?
5 points!
If the graph is in #'s, in the equation there will be _______
π !
W
(Wavelength) 1) # of cycles completed in 2π radians 2) W= 2π/P
Co-terminal Angles
Angles that lie on top of each other (30 and 390)
Interval for Ferris wheels, throwing things, etc..
By 90 degrees! (90, 180, 270, 360...)
Express how to translate cos to sin to be equal & sin to cos to be equal and the type of translation
Cos (x-π/2) Sin (x+π/2) (Horizontal Translation)
Amplitude
Distance between max point & midline
How to determine whether a graph is even or odd Is cos/sine even or odd?
Even: Symmetrical about the y-axis Odd: Symmetrical about the origin Sin: Odd Cos: Even
Where are y coordinates equal of sine & cosine? (graphs)
Every 360 degrees
Phase Shift
H ⟷ Horizontal Translation
Vertical Shift
K ↕ Average Value
Cosine starts at ___________ and can also be called
Max/Min, Coheight
Max Value
Midline + Amplitude
Min Value
Midline - Amplitude
Secant
Opp of Cos 1/cos (θ) (SEC)
Cosecant
Opp of Sin 1/sin (θ) (CSC)
CoTangent
Opp of Tan Cos (θ)/Sin (θ) (Cot)
Sine starts at ___________ and can also be called
Origin, height
Interval
Period/4 (Unit of x-axis)
Period
Time of one cycle 2π/W
To find diameter
Twice of Midline
Midline
Y=K
Tan (x)
Zoom Trig (every other) Domain error for π/2
Basic Function Formula
f(x)=Asin(w(x-h)+k y=Acos(w(x-h)+k