Sum-Difference
Double Angle
Reciprocal
Pythagorean
Trig Graphs/Other Review
100
This is the expanded form of cos(x+y)
What is cosxcosy-sinxsiny?
100
This is the expanded form of sin(2x)
What is 2sinxcosx?
100
DAILY DOUBLE!!! These are all of the reciprocal identities. You have 30 seconds to list them all out on the whiteboard
sin(x)= 1/csc(x)
What are-
csc(x)= 1/sin(x)
sec(x)=1/cos(x)
cos(x)=1/sec(x)
tan(x)=1/cot(x)
cot(x)=1/tan(x)?
100
You have 30 seconds. List out ALL of the Pythagorean identities in terms of what 1 is equal to.
What are-
sin2x + cos2x
sec2x-tan2x
csc2x-cot2x?
100
In the trig function y=0.75sin(pix-2pi/3), this is the length of each subinterval.
What is 1/2?
200
This is the expanded form of cos(x-y)
What is cosxcosy+sinxsiny?
200
These are the three equivalencies of cos(2x)
What are-
cos2x-sin2x
1-2sin2x
2cos2x-1?
200
DAILY DOUBLE!!! These are all of the reciprocal identities. You have 30 seconds to list them all out on the whiteboard
sin(x)= 1/csc(x)
What are-
csc(x)= 1/sin(x)
sec(x)=1/cos(x)
cos(x)=1/sec(x)
tan(x)=1/cot(x)
cot(x)=1/tan(x)?
200
Rewrite (1+cos2x)/(1-cos2x) with csc(x) as the only trig function
What is 2csc2x + 1?
200
True or false: sec(x) and tan(x) are undefined for the same values of x.
True= they are both undefined when x is an odd multiple of 3pi/2
300
This is cos(45°-30°), simplified into one fraction (rationalize your answer)
(sqrt6 + sqrt2)/4
300
This is tan(2x) expanded (in terms of tan(x))
(2tan(x))/(1-tan2x)
300
This is 1/(1/(1/(1/cos(x)))), written as one trig function
What is cos(x)?
300
Rewrite sec2(x) in terms of one fraction with only cot2(x)
What is (cot2x+1)/cot2(x)?
300
This is the angle of depression for an observer in the hot air balloon.
What is 30 degrees?
400
This is sin(3y) expanded using only variables 2y and y, sin, and cos
What is sin(2y)cos(y)+sin(y)cos(2y)?
400
If cos(2x)=0, these are the values of x from the interval [0, pi] that satisfy this equation
What are pi/4 and 3pi/4?
400
This is 2/(sin(x)/sec(x)) written with no denominator.
What is 2csc(x)sec(x)?
400
Simplify fully: 1-cos2(2x) / 2sin4(x)cos4(x)
What is csc2(2x)?
400
This option, shown below is equal to sec(x)
-sec(x)
1/cos(x-2x)
1/sin(-x)
What is Option 2 (1/cos(x-2x))
500
What is cos(x+y) + cos(x-y)
What is 2cosxcosy?
500
This is tan(2x) written in terms of sin(x)
What is-
500
tan(x)/abs(sqrt(1+tan2x))
What is sin(x)?
500
True or false: (1-sin2x)/(1/sec(x)) * cot(x)sin(x) = 1. If not true, what should the right side be changed to? Show your work on the board
False, cos2x
500
This is the full simplification of sin(90degrees) + sin(7pi/4) - tan(73pi) + sec(0).
What is (4+sqrt(2))/2?