Note: This is not a test! It will have no effect on
your grade. Its sole purpose is to help diagnose
your weakness, if any, in the math , which is needed in this course (not just for
Your instructor will be happy to help you.
7. If sin θ = 0.80, then cos θ = _____________ and tan θ =
Mark all angles that are equal to the angle θ .
How many did you mark (including the one
that was already marked)? _____________
9. For what values of θ, if any, is the following
expression true ?
sin2 θ + cos2 θ = 2.0
θ = ____________________________
Part 3. Scientific Notation
In scientific work, it is convenient to express numbers as
the product of a number between 1
and 10 multiplied by an appropriate power of 10. Thus 0.00050 becomes 5.0*10-4,
is written as 1.8*106. This way of writing numbers is called scientific (or
powers of ten) notation.
Carry out the operations indicated and express the results in scientific
If the relation between x and y is given by: y = mx + b
then it may be pictured by a straight line on the y (vertical axis) versus x
(horizontal axis) graph.
The parameter b, called the y-intercept, represents the value of y for x = 0.
The parameter m is
equal to the slope of the straight line and is also equal to the tangent of the
angle that the line makes
with the x-axis.
Sometimes it is not possible to read the value of b
directly from the graph. In that case, b
has to be calculated. First, find the slope m and then select any point on the
straight line and read x
and y values for that point. Substituting m , x, and y into the straight-line
equation, you will be able
to calculate the value of the y- intercept b (b = y - mx).
20. From the graph below , find the slope m and the
m = ____________________ b = _____________________
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