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Unit Circle
Trig Functions
Formulas
Actual Problems
Differentiation
100
Circle with radius of 1
What is the unit circle
100
For sine, we have f(x)=-f(x), this is because sine is this type of function.
What is odd
100
cos^2(x) + sin^2(x) =
What is 1
100
30 degrees in radians
What is pi/6
100
Of sin(x)
What is cos(x)
200
The two sets of measures for right angles in the unit circle
What is 45-45-90 and 30-60-90
200
cos(A+B) = cos(A)cos(B) - sin(A)sin(B) is....
What is the sum identity for cosine
200
sin(u)cos(v) +- cos(u)sin(v)
What is sin(u +- v)
200
Use the trig identity sin^2(x) + cos^2(x) =1 to rewrite cos(2x) in terms of sin^2(x) only
What is cos(2x) = cos^2(x) − sin^2(x) =(1− sin^2(x) )− sin^2(x) =1 - 2sin^2(x)
200
Of sec(x)
What is sec(x)tan(x)
300
The formula for converting degrees to radians.
What is multiply the number of degree by pi /180°
300
We can denote arcsin(x) in another notation.
What is sin^(-1)(x)
300
2sin(u)cos(u)
What is sin(2u)
300
Solve 2sin(x) - 1 = 0
What is pi/6 and 5pi/6
300
Of csc(x)
What is -csc(x)cot(x)
400
The radian measures of 45-45-90 triangles from 0 to 2pi
What is pi/4, 3pi/4, 5pi/4, 7pi/4
400
The functions cotangent, secant, and cosecant have what relationship to the functions tangent, cosine, and sine, respectively
What is cot A = x/y, csc A = r/y, and sec A = r/x
400
cos(2u) can equal three different formulas. What are they?
What is cos^2(u) - sin^2(u), 2cos^2(u) - 1, and 1 - 2sin^2(u)
400
Solve sin(7x)cos(2x) - cos(7x)sin(2x)
What is sin(5x)
400
Differentiate y = 3sin(x) - 4cos(x)
What is 3cos(x) + 4sin(x)
500
sin(pi/3)
What is (root 3)/2
500
cosx/sinx is also known as something else
What is tanx
500
Half-angle formula for tan(a)
What is tan(a/2) = [1 - cos(a)]/sin(a)
500
cos(pi/3)cos(pi/6) + sin(pi/3)sin(pi/6)
What is cos(pi/6)
500
Differentiate y = csc(x)cot(x)
What is -csc(x)[csc^2(x) + cot^2(x)