Fundamental Identities
This is the reciprocal of sin(x).
What is csc(x)?
This is the sum of sin2(x) and cos2(x).
What is 1?
This is the expansion of sin(x+y).
What is sin(x)cos(y)+cos(x)sin(y)?
This is the amount of formulas that can be used to expand cos(2x).
What is 3?
These are the solutions to sin(x)=1 in the range [0,2pi).
What are pi/2 and 3pi/2?
This expression will be equivalent to csc(40o) using a cofunction identity.
What is sec(50o)?
This is the equation of the unit circle(this is related trust).
What is x2+y2=1?
This is the condensed formula for cos(x)cos(y)+sin(x)sin(y).
What is cos(x-y)?
This is the amount of formulas that can be used to expand tan(x/2) that include a square root symbol.
What is 1?
These are the solutions to cos(2x)=1 in the range [0,2pi).
What are 0 and pi?
This expression will be equivalent to -sin(-30).
What is sin(30)?
Why must the point (-0.8,0.6) lie on the unit circle?
(-0.8)2+(0.6)2=1
This is the exact value of sin(7pi/12).
What is (√6+√2)/4?
This is the condensed form of 2*(1/2)*√(3)/2 using a double angle identity.
What is sin(120)?
These are the solutions to tan(x)=1 in the range [0,2pi).
What are pi/4, 3pi/4, 5pi/4, and 7pi/4?
These are the two relationships that tan(x) and cot(x) share.
What are cofunctions and reciprocals?
This expression is equivalent to (1+cos(x))(1-cos(x)) and only uses one sine or cosine function.
What is sin2(x)?
This is the exact value of cos(pi/12).
What is (√6+√2)/4?
This is the exact value of cos(pi/8).
What is (√(2+√2))/2?
These are the solutions for 2sin(x)-1=0 (in radians).
What are π/6 + 2πk and 5π/6 + 2πk?
This is the type of symmetry that sec(x) has.
What is reflectional symmetry about the y-axis?
This is an expression equivalent to (1-cos2(x))/(1+tan2(x)) that contains only sine and/or cosine.
What is sin2(x)cos2(x) or (1/2)(sin2(2x))?
This is the exact value of (tan(30)+tan(60))/(1-tan(30)tan(60)).
What is DNE/undefined?
What is 1/2sin(2x)?
These are the solutions for 2cos2(x)=3-3sin(x) (in degrees).
What are 30o+ 360ok, 150o + 360ok, and 90o + 360ok.