Key facts and formulae which must be known for the Edexcel Core 2 examination.
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Created by Daniel Cox
almost 8 years ago
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Copied by Daniel Cox
almost 8 years ago
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\[\log_a x+\log_a y = ?\]
\[\log_a x-\log_a y = ?\]
\[k \log_a x = ?\]
State the sine rule
True or false?
\[\log_a\left (xy^k \right )=k \log_a\left ( xy \right )\]
What is the trigonometric formula for the area of a triangle?
What is the Pythagorean trigonometric identity?
(Hint: it involves \(\sin^2 x\) and \(\cos^2 x\)
If \(y=a^x\), then \(x=?\)
State the cosine rule
[given in the formulae booklet]
\[\log_a a =?\]
\[\log_a 1 =?\]
State an identity relating \(\sin x\), \(\cos x\) and \(\tan x\)
How many degrees is \(\pi\) radians?
Formula for the area of a sector?
Formula for the length of an arc?
How would you find the area of a segment of a circle?
Formula for the \(n\)th term of a geometric sequence...
[given in the formulae booklet]
Formula for the sum of the first \(n\) terms of a geometric sequence...
[given in the formulae booklet]
Formula for the sum to infinity of a convergent geometric series (one where \(\left | r \right |<1\))
[given in the formulae booklet]
\[\int ax^n \, dx=\, ?\]
How would you find this shaded area?
General equation of a circle, centre \(\left ( a,b \right )\) and radius \(r\)
What is the angle between the tangent and radius at \(P\)?
What does the graph of \(y=a^x\) look like?
Where does it cross the axes?
This is a triangle inside a semicircle, where one side of the triangle is the diameter of the circle.
What is the size of angle \(C\)?
Draw the graph of \(y=\sin x\) for \(0\leq x \leq 2\pi\)
Draw the graph of \(y=\cos x\) for \(0\leq x \leq 2\pi\)
Draw the graph of \(y=\tan x\) for \(0\leq x \leq 2\pi\)
If \(\left (x+a \right )\) is a factor of \(f(x)\), then...
If the remainder, when \(f(x)\) is divided by \((x+a)\) is R, then...
If we draw the perpendicular bisector of any chord on a circle, which point will it definitely go through?
What does \(n!\) mean?
How would you use the second derivative, \(\frac{d^2 y}{dx^2}\) to determine the nature of the stationary points on a graph?
A function is said to be 'increasing' when its gradient is...
A function is said to be 'decreasing' when its gradient is...
