trig functions
Sums & Differences
Unit circle notes
Graphing functions
inverse functions
100
Costheta
Adj/hyp
100
What is the Sum and Difference formula of sin?
Sum:
Sin(alpha+beta)=sinalphacosbeta+cosalphasinbeta
difference:
Sin(alpha-beta)=sinalphacosbeta-cosalphasinbeta
100
what formula do you use to convert radians to degree?
180/pi
100
Which graph is this?
Cos(x)
100
Why does the domain of sin need to be restricted to make it invertible?
Pass the horizontal line check
200
Tan(pi/3)
Radical(3)
200
What is the Sum and Difference formula for Cos?
Sum:
Cos(alpha+beta)= CosalphaCosbeta-Sinalphasinbeta
Difference:
Cos(alpha-beta)= CosalphaCosbeta+ Sinalphasinbeta
200
What do you do when you have a negative degree?
Add 360 to find the coterminal angle
200
Which graph is this?
Tan(x)
200
What is the range and domain of arcsin(x)?
Range[-pi/2,pi/2] Domain[-1,1]
300
Csc(330)
-2
300
Sin(75)
(sqrt6 +sqrt2)/4
300
What are the reference angle rules for each quadrant?
Q1-0-90
Q2-90-180
Q3-180-270
Q4-270-360
300
What is the Amplitude, midline, period, adding angle?
y= -2 cos(x- pi/2)+1
A:2
M:1
p:2pi
AA:pi/2
300
What is arcsin ( radical 2/2)?
Pi/4
400
Cscx(cscx-sinx)=
Cot^2x
400
Cos(105)
(sqrt2-sqrt6)/4
400
Solve:
3tanx+radical 3=0
X=5pi/6 or 150
400
Sin(x), Csc(x)
400
find the inverse of
5y+3=x
x-3/5
500
True or false: justify and show your work
Secx-sinxtanx=cosx
True
500
Cos ((5pi)/12)
(sqrt6-sqrt2)/4
500
Use variable substitution and the triangle method to solve
2sin(x/4)-1=0
X1=120
X2-240
500
y=cos(-2x+pi)-1
Find Amplitude,midline,adding,period,
Graph all 5 coordinates
A:1,
m:-1,
P:-pi/2 ,
AA:-pi/4
X:-pi,-pi/2,0,pi/2,pi
Y:-2,0,-2,0,-2
500
Tan(arcsin(-1/2))
-radical 3/3