3. Use the half-angle formulas to find: 9. B. tan) con A sin(15") C. cos(

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 78E
Question

I need help on trig function- how to apply Sum and difference formulas and double and half angle formulas. There's pictures 

S Englis
A Meet
Night W Carto
b My Tu G how t
S Unit 5
S TI.3 -
S TI.3 N
S TI.4 -
S TI.4 P
S TI.4 N
TI X
G how t
Bianu
USN Politic
O File | /media/fuse/drivefs-6807320e29e6382fa75a316e67e4db5e/root/TI.4_Notes_Double_and_Half_Angle_Formulas.pdf
TI.4_Notes_Double_and_Half_Angle_Formulas.pdf
2 / 2
+ | O O
72%
Half-Angle Formulas:
1- cosu
+ cosu
1- cosu
sin =
cos --
tan =
2
2
2
sinu
sin u
* The signs of sin - and cos
* depend on the quadrant in which
u
tan
2
" lies.
1+ cosu
3. Use the half-angle formulas to find:
97
tan
8
A. sin(15°)
B.
C.
4. Given that cos u=
Зл
use the half-angle formulas to find the EXACT values of cos and tan
-, <u<
2
2
5. Find the exact value of the expression: cos 2 sin
6. Simplify:
7. Verify. 1+ cos10x = 2cos 5x
sin 2x tan
2
Transcribed Image Text:S Englis A Meet Night W Carto b My Tu G how t S Unit 5 S TI.3 - S TI.3 N S TI.4 - S TI.4 P S TI.4 N TI X G how t Bianu USN Politic O File | /media/fuse/drivefs-6807320e29e6382fa75a316e67e4db5e/root/TI.4_Notes_Double_and_Half_Angle_Formulas.pdf TI.4_Notes_Double_and_Half_Angle_Formulas.pdf 2 / 2 + | O O 72% Half-Angle Formulas: 1- cosu + cosu 1- cosu sin = cos -- tan = 2 2 2 sinu sin u * The signs of sin - and cos * depend on the quadrant in which u tan 2 " lies. 1+ cosu 3. Use the half-angle formulas to find: 97 tan 8 A. sin(15°) B. C. 4. Given that cos u= Зл use the half-angle formulas to find the EXACT values of cos and tan -, <u< 2 2 5. Find the exact value of the expression: cos 2 sin 6. Simplify: 7. Verify. 1+ cos10x = 2cos 5x sin 2x tan 2
S Engli
A Meet
A Bianu
A Nigh W Carto
USN Politi
b My T G how
S Unit
S T1.3
S TI.3 O T x
S TI.4
S TI.4 F
S TI.4 I
TI.4_ G how
+
O File | /media/fuse/drivefs-6807320e29e6382fa75a316e67e4db5e/root/TI.3+Notes+Sum+and+Difference+Formulas.pdf
TI.3+Notes+Sum+and+Difference+Formulas.pdf
1 / 2 |
-
+ | 0 O
67%
25
3. tan
12
4. Find the exact value of sin 20° cos 80°- cos 20° sin 80°
1
5. If cosa =-
and sin ß=, -<B<0, find the exact value of cos(a- B).
-4
%3D
0<a<
-
2
6. Find the exact value of sin sin
- tan
7. Prove the identity: cos(a+ B)+cos(a - B) = 2cos a cos B.
Transcribed Image Text:S Engli A Meet A Bianu A Nigh W Carto USN Politi b My T G how S Unit S T1.3 S TI.3 O T x S TI.4 S TI.4 F S TI.4 I TI.4_ G how + O File | /media/fuse/drivefs-6807320e29e6382fa75a316e67e4db5e/root/TI.3+Notes+Sum+and+Difference+Formulas.pdf TI.3+Notes+Sum+and+Difference+Formulas.pdf 1 / 2 | - + | 0 O 67% 25 3. tan 12 4. Find the exact value of sin 20° cos 80°- cos 20° sin 80° 1 5. If cosa =- and sin ß=, -<B<0, find the exact value of cos(a- B). -4 %3D 0<a< - 2 6. Find the exact value of sin sin - tan 7. Prove the identity: cos(a+ B)+cos(a - B) = 2cos a cos B.
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