Graphing
What are the transformations for this function? y=tan(x+pi/4)-1
down 1, left pi/4
What are the three Pythagoren Identities?
cos2x+sin2x=1
1+tan2x=sec2x
cot2x+1=csc2x
sin(2x)
2sin(x)*cos(x)
cos(x/2)
rad( 1+cos(x) / 2)
What was the first Marvel movie made?
What are the transformations on this graph? g(x)=3tan(x+pi/3)-2
down 2, left pi/3, stretched by 3
What is sin(-x)
-sin(x)
tan(2x)
2tan(x) / (1-tan2x)
sin(x/2)
rad (1-cos(x)/2)
Who is Black Panther's little sister?
Who is Shuri?
y=-2tan(x/2)
Graph 1
cos(-x)=?
cos(x)
Find sin(2x) of a right triangle with sides 5, 12, and hypotenuse 13.
2sin(x)cos(x)
2(5/13)(12/13)
= 120/169
If cosx=24/25 and 3pi/2 < x < 2pi
Find sin(x/2)
rad(2) / 10
What is the name of Thor's hammer?
What is Mjolnir?
f(x)=3tan(x-pi/2)-1
Graph 2
tan(-x)=?
-tan(x)
Find the exact value of the expression using double angles
sin(120 degrees)
sin(2x)=2sin(x)cos(x)
sin(120) = sin(2*60)
= 2sin(60)cos(60)
=2(1/2)(rad(3)/2)
sin(120)=rad3/2
Use the half angle identity to find the exact value
sin(5pi/6)
sin(x/2) = rad((1-cosx)/2)
x/2 = 5pi/6 -> x=10pi/6 = 5pi/3
sin(5pi/6)=sin(5pi/3 * 1/2)
= rad( (1-cos(5pi/3)) / 2)
= rad((1-1/2) / 2)
= rad (1/2 * 1/2) = rad (1/4) = 1/2
What is the name of the character Hawkeye becomes after Avengers: Infinity War?
Who is Ronin?
f(x)=-1/2 tan(x+3pi/4)
Graph 3
What is cos(pi/2 - x)=?
sin(x)
cos(2x)=?
cos2(x)-sin2(x)
2cos2(x)-1
1-2sin2(x)
tan(x/2)
rad ( (1-cos(x)) / (1+cos(x)) )
sin(x) / 1+cos(x)
1-cos(x) / sin(x)
Which eye does Nick Fury wear a patch over?
What is the left eye?