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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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
I need help on trig function- how to apply Sum and difference formulas and double and half angle formulas. There's pictures
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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
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb5d6ee0-98c6-4e41-b057-fc26e80cef8a%2Ffb78fb89-8a32-4fee-8b57-2f6264d9b17f%2F3nxjtx9_processed.png&w=3840&q=75)
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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
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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
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O File | /media/fuse/drivefs-6807320e29e6382fa75a316e67e4db5e/root/TI.3+Notes+Sum+and+Difference+Formulas.pdf
TI.3+Notes+Sum+and+Difference+Formulas.pdf
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb5d6ee0-98c6-4e41-b057-fc26e80cef8a%2Ffb78fb89-8a32-4fee-8b57-2f6264d9b17f%2Fuq854kc_processed.png&w=3840&q=75)
Transcribed Image Text:S Engli
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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 |
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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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