Download ch5 practice test The point P is on the unit circle

M241 (trigonometry)
ch5 practice test
The point P is on the unit circle. Find P(x, y) from the given information.
The y-coordinate of P is -1/7 and the x-coordinate is positive.
The x-coordinate of P is positive and the y-coordinate of P is -√5/5.
The x-coordinate of P is -2/5 and P lies above the x-axis.
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.
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 each value of t.
(a)
(b)
(c)
(d)
Find the reference number for the value of t, and the terminal point determined by t.
(a) The reference number is .
(b) The terminal point is
Find the reference number for the value of t, and the terminal point determined by t.
(a) The reference number is
(b) The terminal point is
Find the reference number for the value of t, and the terminal point determined by t.
(a) The reference number is
(b) The terminal point is
For the value of t below, do the following.
(a) Find the reference number of t.
(b) Find the terminal point determined by t.
Find the reference number for the value of t, and the terminal point determined by t.
(a) The reference number is
(b) The terminal point is
Find the reference number for the value of t, and the terminal point determined by t.
(a) The reference number is
(b) The terminal point is
Find the reference number for the value of t, and the terminal point determined by t.
(a) The reference number is
(b) The terminal point is
Find the exact value of the trigonometric function at the given real number. (If there is no answer, enter NONE in the answer box.)
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 sin(t)cos(t) if the terminal point determined by t is in quadrant IV.
From the information given, find the quadrant in which the terminal point determined by t lies.
tan(t) > 0 and sin(t) < 0 ,cos(t) > 0 and cot(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 I , tan(t), cos(t); quadrant I , csc(t), cot(t); quadrant I, sin(t), sec(t); quadrant I
2
2
sec (t)sin (t), cos(t); any quadrant
Find the values of the trigonometric functions of t from the given information.
cos(t) = -4/5, terminal point of t is in quadrant III
tan(t) = 1/5, terminal point of t is in quadrant III
sec(t) = 5, sin(t) < 0
tan(t) = -5, csc(t) > 0
Determine whether the function is even, odd, or neither.
5
f(x) = x 4 cos (5x), f(x) = tan(x) + cos(x),
f(x) = x sin (x),
f(x) = cos(tan(x))
Find the amplitude and period of the function, and sketch its graph.
,
,
,
Find the amplitude, period, and phase shift of the function, and graph one complete period.
,
,
,
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)).
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