O Level Additional Maths Notes: Formulae
Trigonometry
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If
is
to be written in the form
then
and
If
is
to be written in the form
then
use
and
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Calculus and Algebra
If
has
a turning point (also called a stationary or maximum or minimum)
at
then
at
If
at
then
has
a minimum at
If
at
then
has
a maximum at
If
then
no conclusion may be drawn from this test. The nature of the
stationary point may be deduced by sketching the curve in the
vicinity of the point.
If
then
the completed square form for
is![]()
The minimum value of y can then be read off. This
minimum value is
and
this minimum value occurs at![]()
Logarithms
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