2. Evaluate using formulas developed in this section. B (a) sin 11T 12 (b) cos 13-T 12 (c) tan (-2) (e) sin 75° 3. Find the value of each of the following. (a) sin (4-3) 5. If x is in the interval COS (d) tan(- -—52") 12 (f) cos(-15°) cos x = -and tan y 6 4. If x and y are in the interval (0,3 and sinx=and cos evaluate each of the following. (a) sin(x - y) -7) (c) tan(- tan (-34 (b) cos(x + y) (c) tan(x + T) and y is in the interval (T. 3
2. Evaluate using formulas developed in this section. B (a) sin 11T 12 (b) cos 13-T 12 (c) tan (-2) (e) sin 75° 3. Find the value of each of the following. (a) sin (4-3) 5. If x is in the interval COS (d) tan(- -—52") 12 (f) cos(-15°) cos x = -and tan y 6 4. If x and y are in the interval (0,3 and sinx=and cos evaluate each of the following. (a) sin(x - y) -7) (c) tan(- tan (-34 (b) cos(x + y) (c) tan(x + T) and y is in the interval (T. 3
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:2. Evaluate using formulas developed in this section.
B
11 m
12
(b) cos
13-F
12
(d) tan(-1/2)
(a) sin
tan
(e) sin 75°
3. Find the value of each of the following.
(a) sin(-) (b) cos(--) (c) tan(-37 +27)
(0,7)
and cos y =
4. If x and y are in the interval
evaluate each of the following.
(a) sin(x - y)
7
5. If x is in the interval
(b) cos
des
cos x = -and tan y =, evaluate each of the following.
(a) sin(x + y)
(b) cos(x - y)
(c) tan(x - y)
6. Find the exact value of each of the following.
(a) sin 50° cos 20°
cos 50° sin 20°
TT 4T
COS
4T
21
21
tan 7° + tan 8°
1
(b) cos(x + y)
(c) tan(x + y)
(,) and y is in the interval (TT. ³/77)
tan 7° tan 8°
ST 5T
sin COS
36
18
sin sin
+ cos
(c) cos
Use the identity tan 0 =
(f) cos(-15°)
5T 5T
sin
36 18
Use the Addition Formula for Sine to prove the Subtraction Formula
for Sine, namely, sin(a - b)
=
sin a cos b
cos a sin b.
sin 0
and sin x
cos 0
Tangent, namely tan(a - b)
10. Prove each of the following.
(a) sin(m + x) = -sin x
3 T
= sin x
(e) cos
+ x) = -sin x
(g) sin(x - 1) = -sin x
=
to prove the Subtraction Formula for
Use the Addition Formula for Tangent to prove the Subtraction
Formula for Tangent.
and
-
tan a - tan b
1 + tan a tan b
(d) sin
(b) tan(2π - x) = -tan x
/3T
³/2 - x) =
(f) tan
(h)
= -COS X
+ = -cot x
-tan(-x-T) = tan x
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