Download Trigonometry

Trigonometry
Chapter 1 Review for Test
Name_______________________________ Date_______
You must show all work to receive full credit on test.
1. Find the distance between the two points. Write answers in simplest radical form.
a) A(-4, -2)
B(-2, 4)
b) C(3, -4)
D(2, 2)
2. For the relation {(2, -4),(5, -2),(1, 3),(6, -2)}:
a) Is the relation a function? ______
b) What is the domain? ___________
3. Use the picture at the right to answer the following questions:
a) Is this a graph a function? _______
b) What is the domain? _________
c) What is the range? ____________
4. Determine the real number(s) that must be excluded from the domain of each function.
a) f(x) = x + 3
x–6
b) f(x) = x + 3
x2 – 25
5. For each rotation, find the measure of the angle in degrees.
a) ½ rotation, clockwise
b) 3/10 rotation, counterclockwise
6. Give the definition of each of the following using x, y, and r:
a) sin 0 = ________
d) csc 0 = ________
b) cos 0 = ________
e) sec 0 = ________
c) tan 0 = ________
f) cot 0 = ________
7. The terminal side of an angle in standard position passes through the given point. Find the
value of the function stated for that angle. Show your work, leave answers in radical form.
a) P (1, -2)
b) P (-4, 2)
csc 0 = _________
8.
tan 0 = _____________
0 is the measure of an angle in standard position that lies in Quadrant III with cos 0 = - 3/7. Find
the values of the requested trig functions. Show your work.
a) sin 0 = ______
b) sec 0 = _____
c) tan 0 = ______
9. 0 is the measure of an angle in standard position that lies in the given quadrant. Evaluate the
function. Leave the answer in simplest radical form.
sec 0 = -5/3 in quadrant II
cot 0 = _________________
10. For each angle give the value of the requested trigonometric functions in radical form (no
decimals).
0 = 330
0 = 135
a) sin 330 = _____
d) csc 135 = ______
b) cos 330 = ____
e) cos 135 = ______
c) tan 330 = ____
f) cot 135 = ______
11. Use your calculator to find each of the following. Round angles to the
nearest tenth and the value of functions to four decimal places.
a) sin 28 25’
= __________
b) tan 182 16’
= __________
c) sin 0 = 0.2314
0 = _______________
d) cos 0 = -0.5554
0 = _______________
e) csc 0 = -2.2845
0 = _______________
12. For each of the following right triangles, find the value of the stated part:
a)
< A = 48
b = 12
Find side c
(to the nearest tenth)
c = ____________
b)
a=9
b=5
Find angle A
(to the nearest hundreth)
< A = ____________
13. The angle of elevation from the foot of a tree to the top of a house
is 52 37’. The top of the house is 20 m above ground. To the
nearest tenth of a meter, how far is the tree from the house?
Draw a picture as part of your work
14. Name the reference angle for the following:
a. 800 = ____________
c. – 120 = _________
b. 229 = _____________
d. 164 = __________
15. Give the coterminal angle measure of:
a. 65 after 1 rotation counterclockwise = ____________
b. 15 after 2 rotations clockwise = ________________