Exam 3 Possible Topics MATH 1060Q, DECEMBER 2008
- Find the inverse of an algebraic function
- The Wrapping Function and the trigonometric point P(t).
Unit circle definitions of cosine and sine
- Knowledge of the values at integer multiples of π/2, π/3,
π/4, π/6
- Finding reference angle and using it (plus quadrant) to evaluate
a trigonometric function
- Algebraic calculation using the definition of secant, cosecant,
cotangent
- Given a point on its terminal ray, calculate the sine and cosine
of an angle in standard position
- Periodicity and symmetry properties of the trigonometric functions
- Properties of inverse trigonometric functions
- Right triangle trigonometry
- Amplitude, period, and graph of f(x) = A
sin(Bx)
- Applying the Pythagorean identities
- The sine and cosine of a sum or a difference of inputs
- Double and half angle formulas
- Law of Sines, SSA data
- Law of Cosines, SSS data
- Continuously compounded interest.
- Apply properties of exponentials and logarithms
Not all of the topics above will appear on
the exam. Format: ten show the work problems.
A list
of trigonometric formulas, including some of
the identities, will be given on Page 1 of the exam. Some but not
all of these will be useful in working certain problems on the
test.
Calculators
must be used on the exam. But you must still know
the basic facts about sin(π), cos(π/4), etc., exactly -- you
will be marked as wrong if a problem asks for an exact answer --
in terms of mathematical constants such as π, the square root of
23, etc. -- and you use a calculator approximate value.
Good luck on
the exam!