Things to learn for C3/C4 Flashcards
what does sec x equal?
1/cos x
what does cot x equal?
1/tan x
or cos/sin
what does cosec x equal?
1/sin x
How do you draw sec/cot/cosec graphs?
inverse graphs of cos/tan/sin
how do you integrate by parts?
uv- sum of u’v
how do you work out the area of a parametric function?
sum of y dx/dt dt
how do you work out the volume of a parametric function and normal graph?
sum of piy^2 dx/dt dt
sum of piy^2 dx
what does sec^2 equal?
tan^2x + 1
what does cosec^2 equal?
1 + cot^2x
If siny = x
y = arcsinx
what is arcsinx?
sin^-1x not 1/sinx
what does 1 equal in terms of sin and cos?
sin^2 + cos^2
what does R equal?
what does alpha equal?
root A^2 + B^2
tan^-1 B/A
B must be the cosx
What is the minimum value of a double angle?
-R
what does tan2x equal?
sin2x/cos2x
what does tanx equal in terms of cot?
cot(90-x)
How do you draw f= |f(x)|
reflect in the x axis
How do you draw y=f^-1(x)
swap x and y co ordinates of each point
What does Sin2A equal?
2SinACosA
What does Cos2A equal?
Cos^2A - Sin^2A
2Cos^2A - 1
1 - 2Sin^2A
What does Tan2A equal?
2TanA/1 - Tan^2A
2Sin^3A
SinA = 5 what is the answer?
2(5)^3
Do not cube 2
How do you find an inverse function of x?
swap x for y
rearrange to make y the subject
What is the differential of sinkx?
k cos kx
What is the differential of coskx?
-k sin kx
What is the differential of e^kx
ke^kx
What is the integral of Sin kx?
-1/k Cos kx
What is the integral of Cos kx?
1/k Sin kx
Why does more trapezium give a more accurate value?
With increasing ordinates the line segments at the top of the trapezia are closer to the curve.
What is the differential of tanx?
Sec^2 x
Hat is the integral of tanx?
ln(Secx) + c
What is the integral of cot x?
ln(Sinx) + c
What is the differential of Sec x?
Secx tanx
What is the domain of an inverse function?
The range of the original function
