s13-20, P = (x, y) is the point on the unit circle that c acions of t. 2V6 2 V21 15. 5 5 16. 5' 5 14. 2' V5 2 20. VZ V2 18. 19. 3 3 3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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13,19
hPoblems 13-20, P = (x, y) is the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric
complement of a, it was natural to write the cosine of a as sin co a.
The names of the remaining functions came about as follows. If a
the domain, there is exactly one element y in the range.
shadow), referring to the use of the tangent in solving height
SECTION 6.2 Trigonometric Eunctions: Unit Circle Approach 507
adow ame for the tangent is umbra versa (meaning turned
problems with shadows.
and B are complementary angles, then cos a
A
sin B. Because ß is the
ired
Probably for reasons involving ease of pronunciation, the co migrated
to the front, and then cosine received a three-letter abbreviation to
match sin, sec, and tan. The two other cofunctions were similarly
treated, except that the long forms cotan and cosec survive to this
day in some countries.
ough,
x,y)
-y*)
LOwn
Figure 34
Os of
5. What point is symmetric with respect to the y-axis to the
.(p. A14)
Athagorean Theorem states that
1 V3
? (pp. 13-15)
point
(n 51-54)
False For a function y = f(x), for each x in
6. If (x, y) is a point on the unit circle in quadrant IV and if
V3
, what is y? (p. 36)
x =
p 49-51)
n triangles are similar, then corresponding angles
and the lengths of corresponding sides are
(pp. A16-A19)
2
are
Concepts and Vocabulary
1 Multiple Choice Which function takes as input a real
tumber t that corresponds to a point P = (x, y) on the unit
circle and outputs the x-coordinate?
(a) sine
11. For any angle 0 in standard position, let P = (x, y) be
the point on the terminal side of 0 that is also on the circle
if
x2 + v? = r2 Then, sin 0 =
and cos 0 =
(b) cosine
(c) tangent
( secant
TT
A The point on the unit circle that corresponds io ) =
P =
is
12. Multiple Choice The point on the unit circle that corresponds
a
to 0 =
- is
A The point on the unit circle that correspends to 60 =
1s
4
(а)
(b)
P =
(d)
. True or False Exact values can be found
angle.
the sine of any
(c)
Sill Building
mcions of t.
2 V21
15.
5' 5
16.
14.
20.
1w. ( )
18.
2 2
Transcribed Image Text:hPoblems 13-20, P = (x, y) is the point on the unit circle that corresponds to a real number t. Find the exact values of the six trigonometric complement of a, it was natural to write the cosine of a as sin co a. The names of the remaining functions came about as follows. If a the domain, there is exactly one element y in the range. shadow), referring to the use of the tangent in solving height SECTION 6.2 Trigonometric Eunctions: Unit Circle Approach 507 adow ame for the tangent is umbra versa (meaning turned problems with shadows. and B are complementary angles, then cos a A sin B. Because ß is the ired Probably for reasons involving ease of pronunciation, the co migrated to the front, and then cosine received a three-letter abbreviation to match sin, sec, and tan. The two other cofunctions were similarly treated, except that the long forms cotan and cosec survive to this day in some countries. ough, x,y) -y*) LOwn Figure 34 Os of 5. What point is symmetric with respect to the y-axis to the .(p. A14) Athagorean Theorem states that 1 V3 ? (pp. 13-15) point (n 51-54) False For a function y = f(x), for each x in 6. If (x, y) is a point on the unit circle in quadrant IV and if V3 , what is y? (p. 36) x = p 49-51) n triangles are similar, then corresponding angles and the lengths of corresponding sides are (pp. A16-A19) 2 are Concepts and Vocabulary 1 Multiple Choice Which function takes as input a real tumber t that corresponds to a point P = (x, y) on the unit circle and outputs the x-coordinate? (a) sine 11. For any angle 0 in standard position, let P = (x, y) be the point on the terminal side of 0 that is also on the circle if x2 + v? = r2 Then, sin 0 = and cos 0 = (b) cosine (c) tangent ( secant TT A The point on the unit circle that corresponds io ) = P = is 12. Multiple Choice The point on the unit circle that corresponds a to 0 = - is A The point on the unit circle that correspends to 60 = 1s 4 (а) (b) P = (d) . True or False Exact values can be found angle. the sine of any (c) Sill Building mcions of t. 2 V21 15. 5' 5 16. 14. 20. 1w. ( ) 18. 2 2
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