Things I Should Know Flashcards
sin(0) = ???
0
sin(pi / 2) = ????
1
What is another way to write tanx?
sinx/cosx
ln(e) = ???
1
What is the derivative of arctanx (tan^-1(x))
1/(1+x^2) dx
arctan(1) = ????
Pi/4
ln(1) = ???
0
What is the Half Angle formula for sin^2(x)
sin^2(x) = (1/2)(1-cos(2x))
What is the Half Angle formula for cos^2(x)
cos^2(x) = (1/2)(1+cos(2x))
What is the Half Angle formula for tan^2(x)
(1-cos^(2x))/(1+cos^2(2x))
sinx/cosx = ???
tanx
1/cosx = ???
secx
cosx/sinx = ???
cotx
1/sinx
cscx
What is the derivative of secx?
secx*tanx
1+cot^2(x) = ???
csc^2(x)
What is the derivative of cscx?
-cscx*cotx
What is the derivative of cotx?
-csc^2(x)
What is the anti derivative of tanx?
ln|secx|+C
What is the anti derivative of cotx
ln|sinx|+C
What is the anti derivative of secx
ln|secx+tanx|+C
What is the anti derivative of cscx
ln|cscx-cotx|+C
1+cot^2(x) = ???
csc^2(x)
What is the derivative of arctanx?
1/(1+x^2)
DONE
How many degrees is pi/6?
30
How many degrees is pi/4
45
How many degrees is pi/3
60
How many degrees is pi/2
90
What is the Trig Substitution that goes with the radical:
sqrt(a^2 - x^2)
a*sinΘ
What is the Trig Substitution that goes with the radical:
sqrt(a^2 + x^2)
a*tanΘ
What is the Trig Substitution that goes with the radical:
sqrt(x^2 - a^2)
a*secΘ
In regards to a triangle, define sinx.
sin = OPPOSITE/HYPOTINUSE
In regards to a triangle, define cos.
cos = ADJACENT/HYPOTINUSE
In regards to a triangle, define tan.
tan = OPPOSITE/ADJACENT
1/tanx = ???
cotx
