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