Precalculus Ch5 Practice Test
Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.
P(-3/5,
), quadrant II
The point P is on the unit circle. Find P(x, y) from the given information.
The y-coordinate of P is -1/3 and the x-coordinate is positive.
The point P is on the unit circle. Find P(x, y) from the given information.
The x-coordinate of P is -4/5 and P lies above the x-axis.
Starting with t = 0 and working in a counterclockwise manner, find t and the terminal point determined by t for
each point in the figure. (Note: t increases in increments of π/6.)
Find the terminal point P(x, y) on the unit circle determined by the given value of t:
Find the terminal point P(x, y) on the unit circle determined by the given value of t:
Suppose that the terminal point determined by t is the point on the unit circle which is given below. Find the
terminal point determined by each of the following.
(a) π - t
(b) - t
(c) π + t
(d) 2π + t
Find the reference number for each value of t.
(a)
(b)
(c)
(d)
Find the reference number for the value of t, and the terminal point determined by t:
Find the exact value of the trigonometric function at the given real number.
The terminal point P(x, y) determined by a real number t is given. Find sin(t), cos(t), and tan(t).
Find the sign of the expression tan(t)sec(t), if the terminal point determined by t is in the quadrant IV.
Find the sign of the expression csc(t)sin(t)if the terminal point determined by t is in the quadrant III.
From the information given, find the quadrant in which the terminal point determined by t lies.
tan(t) > 0 and sec(t) < 0
From the information given, find the quadrant in which the terminal point determined by t lies.
sin(t) > 0 and sec(t) < 0
Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant.
cos(t), sin(t); quadrant IV
tan(t), cos(t); quadrant IV
csc(t), cot(t); quadrant IV
sin(t), sec(t); quadrant IV
2
2
csc (t)cos (t), sin(t); any quadrant
Find the values of the trigonometric functions of t from the given information.
cos(t) = -3/5, terminal point of t is in quadrant III
tan(t) = 1/8, terminal point of t is in quadrant III
sec(t) = 8, sin(t) < 0
tan(t) = -8, csc(t) > 0
Determine whether the function is even, odd, or neither.
f(x) = x 4 cos (5x)
f(x) = tan(x) + sec(x)
f(x) = x sin5(x)
f(x) = sec(tan(x))
Find the amplitude and period of the function, and sketch its graph.
The graph of one complete period of a sine or cosine curve is given.
Write an equation that represents the curve in the form y = a sin(k(x - b)) or y = a cos(k(x - b)).
Match the trigonometric function with one of the graphs (a) - (f).
f(x) = sec (2x)
a.
b.
c.
d.
e.
Use the given function to answer the following questions.
b.
a.
c.
d.
Use the given function to answer the following questions.
a.
b.
c.
d.
Use the given function to answer the following questions.
a.
b.
c.
d.
Use the given function to answer the following questions.
a.
b.
c.
d.
Use the given function to answer the following questions.
a.
b.
c.
d.
Use the given function to answer the following questions.
a.
b.
c.
d.
Use the given function to answer the following questions.
a.
c.
b.
d.