Six Trig Functions
Simplifying Trig Expressions
Solving Trig Equations
Trig Transformations
Ms. Madrigal Trivia
100
Find the value using the unit circle
sin(pi/2)=
sin(pi/2)= 1
100
Simplify the following expression
(csctheta)(costheta)
cot(theta)
100
Solve the following equation
2tan(theta)=2
for 0<= theta <= 2pi
theta = pi/4
theta = (5pi)/4
100
Identify the horizontal shift of the sine function.
h=-pi/2
100
What other subject does Ms. Madrigal teach?
Geometry
200
Find the value using the unit circle
cos((4pi)/3)=
cos((4pi)/3)=-1/2
200
Simplify the following expression
(sinx)(tanx)(cotx)(cscx)
1
200
Solve the following equation
sec(theta)=1/2
for all theta
no solutions
200
Write an equation for the tangent function. (Hint: there is only one transformation)
y=tan(x-pi/2)
200
What is Ms. Madrigal's first name?
Valerie
300
Find the value using the unit circle
tan ((15pi)/4)=
tan ((15pi)/4)=-1
300
Simplify the following expression
(sec^2theta-tan^2theta)/sintheta
csctheta
300
Solve the following equation
sin(x) - sqrt3 = -sin(x)
for all x
x=(4pi)/3 + 2pi*n
x=(5pi)/3 + 2pi*n
n is an integer
300
Write an equation for the following function using cosine:
y = -2cos(x)
or
y = 2cos(x-pi)
300
How old is Ms. Madrigal?
23
400
Find the value of
sec((5pi)/3)=
sec((5pi)/3)= 2
400
Simplify the following expression
(sin^3(x)+sin(x)*cos^2(x))/cos(x)
tan(x)
400
Solve the following equation
2+4sin^2(x) =4
for [0,2pi)
x=pi/4,(3pi)/4,(5pi)/4,(7pi)/4
400
Identify the amplitude, frequency, and vertical shift of the cosine function.
a=-1
B=2
k=-1
400
What sports did Ms. Madrigal play in high school? (name at least one)
Soccer & Tennis
500
Find the value of
cot((5pi)/6)=
cot((5pi)/6)= -sqrt3
500
Simplify the following expression
(sec^2x-1)/sin^2x
sec^2x
500
Solve the following equation
sin^2x+cos^2x+tanx=1
for [0,2pi)
x=pi,2pi
500
Identify the vertical shift and amplitude of the tangent function.
k = 1
a = 2
500
Name one of Ms. Madrigal's top 5 artists.
Coldplay, Radiohead, Tyler, the Creator, Daniel Caesar, & Latin Mafia