Download Name: Date: Chapter 5.1-5.3 Review Part 2 1— COS X 2. cos 0 cot 6

Name:
Date:
Chapter 5.1-5.3 Review Part 2
Verify the identities. You may only work with one side of the identity.
1— COS X
2
2. cos 0 cot 6' = csc — sin
1. (CSC X —COt X)
1+ cos x
IT -(66y il--cv5 al'
z-7,
/
L
05 a°
't!
) ,..
1,6e
1---
5/ ,-(0( 57/A-ie
2
5'1./1- y
Z t* c e 1 rarx -11-- 'C'c, 7 2/
3. sinx+cosx
r
sin x
cos x
1— tan x 1— cot x
4. sinc9+cos0+tan8sin8=sec0+cosOtanO
fftL
rc)5){
5-1-1-/X
cos,-
e-05.69
,-)5
,"k-,9471,5 /i..2(
/
"SC'
rL (6;5 0
05
2(
tr-ci5
(05 (9,
c,25-6)
(9
iL
6)5- t9
5
—
C9
ec--567
S
) cosi< 74 5 4-L-9
rro
(c)5)."
Si-61X
y
5 ,9
sec' & — cos' o
5.
sec 0 — cos 0
—
6. csc6 x — cot6 x =1+ 3 csc2 x cot2 x
s ec2 0+1+ cos2 0
ez j c967('050
r ("5
(Se_
X.--o1F-7-7)( ("5"C
.2x (07:2>e
5e ?A- (14- cc,r 2/()
2 $ ,.
,
'IL
(or ?)(
1'07 2x,
/1) /4/ (
5 fA:1"9
7L-
8 l+sinx+cosx l+sinx
.
cos x
1— sin x + cos x
7. sec2 0 + csc2 0 = sec2 0 csc2
os '6)
4107-t(v
4— 3 (
/
J
X(ciT
c 3(7.0 2)<" (°1-
2, Ckje- •
56
1-15e
(5'6. 7x 4- ac'ele(07
l's
5" ec
vX
?z- c-vc x
r,-5-y
7
2
-1 cos kk
5
(0 c
cs 5
2.
5r
— 57/u 2K `1. 5(•L'lcec--y
625 x.)
-
o5 9 64y.
/
c-05'Z9 571z0
o
"71:(-c'5 .9(
„5
/
c 671-
c 2-0.
c,
7, -----171(1,
7 '1/4-- 5 (---LA-
>1,
9.
l+sinx+cosx l+cosx /
sin x
14- sin x - cos x
71-51,4,61-4,5 v
10. (2 sin x + 3 cos x)2 + (3 sin x - 2 cos x)2 =13
Z
A-)( (e."5,ic 1- 7(05 KV-
R2( '(L
0-5 f A,K f_
\\)
(,5X 7L
t(
/7L5miK -rav
le,s x
)6-/ 5'1%1,A (
15('''A'
(115X.
5L-5 //v.'
4- 25 xrci5xI
(' / )1- (6.50
(- 2 5,--9(
/- 5 /-
A
?,ir
/ 3 ('/-?x..
xc,Ce
_
7- cj,1-2(
(6)55‘)
Ci>1 cr,,S>c )
Solve each equation for [0, 270
2-
11.
r4,2-xy 2
12.
(05
sin2 x + coax - cos x = 0
14.
cos2 x = 2 - cos x
`2--
(tan x + sec x
( `77,1/A) /-
Solve for ALL solutions
13. sin x tan x = —tan x
2.
.-/
)
5:A,
1/ 2
z_ --
C
47
7
277--,
5
rzcç
?cc's
Use the given values and trigonometric identities to solve for all six trigonometric functions of the angle
csc8---
15.
VF1
3
,cos8 < 0
16.
5
secO =--,tan8 > 0
4
(056, -
c (A, 0 --- 3
5
6
-3
t‘oto
cif;
yi:
5 6,
s,
3
—
V2
Co'10
3
—
coo =—,tan<0
17.
18.
8
cot° --,--,8,cosO> 0
4-A,69
(05,9
(9 _
re-s(IT
20.
19. csc --8 =3,tan0 > 0
3
I (-26,
('7
-3
3
tan() ---- — ,sec > 0
2
—/