Processing Math: 94%
4.4 Exercises
From Förberedande kurs i matematik 1
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- | {{Ej vald flik|[[4.4 Trigonometriska ekvationer| | + | {{Ej vald flik|[[4.4 Trigonometriska ekvationer|Theoy]]}} |
- | {{Vald flik|[[4.4 Övningar| | + | {{Vald flik|[[4.4 Övningar|Exercises]]}} |
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- | === | + | ===Exercise 4.4:1=== |
<div class="ovning"> | <div class="ovning"> | ||
- | + | For which angles <math>\,v\,</math>, where <math>\,0 \leq v\leq 2\pi\,</math>, does | |
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|a) | |a) | ||
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</div>{{#NAVCONTENT:Svar|Svar 4.4:1|Lösning a |Lösning 4.4:1a|Lösning b |Lösning 4.4:1b|Lösning c |Lösning 4.4:1c|Lösning d |Lösning 4.4:1d|Lösning e |Lösning 4.4:1e|Lösning f |Lösning 4.4:1f|Lösning g |Lösning 4.4:1g}} | </div>{{#NAVCONTENT:Svar|Svar 4.4:1|Lösning a |Lösning 4.4:1a|Lösning b |Lösning 4.4:1b|Lösning c |Lösning 4.4:1c|Lösning d |Lösning 4.4:1d|Lösning e |Lösning 4.4:1e|Lösning f |Lösning 4.4:1f|Lösning g |Lösning 4.4:1g}} | ||
- | === | + | ===Exercise 4.4:2=== |
<div class="ovning"> | <div class="ovning"> | ||
- | + | Solve the equation | |
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|a) | |a) | ||
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</div>{{#NAVCONTENT:Svar|Svar 4.4:2|Lösning a |Lösning 4.4:2a|Lösning b |Lösning 4.4:2b|Lösning c |Lösning 4.4:2c|Lösning d |Lösning 4.4:2d|Lösning e |Lösning 4.4:2e|Lösning f |Lösning 4.4:2f}} | </div>{{#NAVCONTENT:Svar|Svar 4.4:2|Lösning a |Lösning 4.4:2a|Lösning b |Lösning 4.4:2b|Lösning c |Lösning 4.4:2c|Lösning d |Lösning 4.4:2d|Lösning e |Lösning 4.4:2e|Lösning f |Lösning 4.4:2f}} | ||
- | === | + | ===Exercise 4.4:3=== |
<div class="ovning"> | <div class="ovning"> | ||
- | + | Solve the equation | |
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|a) | |a) | ||
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</div>{{#NAVCONTENT:Svar|Svar 4.4:3|Lösning a |Lösning 4.4:3a|Lösning b |Lösning 4.4:3b|Lösning c |Lösning 4.4:3c|Lösning d |Lösning 4.4:3d}} | </div>{{#NAVCONTENT:Svar|Svar 4.4:3|Lösning a |Lösning 4.4:3a|Lösning b |Lösning 4.4:3b|Lösning c |Lösning 4.4:3c|Lösning d |Lösning 4.4:3d}} | ||
- | === | + | ===Exercise 4.4:4=== |
<div class="ovning"> | <div class="ovning"> | ||
- | + | Determine the angles <math>\,v\,</math> in the interval <math>\,0^\circ \leq v \leq 360^\circ\,</math> which satisfy <math>\ \cos{\left(2v+10^\circ\right)}=\cos{110^\circ}\,</math>. | |
</div>{{#NAVCONTENT:Svar|Svar 4.4:4|Lösning |Lösning 4.4:4}} | </div>{{#NAVCONTENT:Svar|Svar 4.4:4|Lösning |Lösning 4.4:4}} | ||
- | === | + | ===Exercise 4.4:5=== |
<div class="ovning"> | <div class="ovning"> | ||
- | + | Solve the equation | |
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|a) | |a) | ||
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</div>{{#NAVCONTENT:Svar|Svar 4.4:5|Lösning a |Lösning 4.4:5a|Lösning b |Lösning 4.4:5b|Lösning c |Lösning 4.4:5c}} | </div>{{#NAVCONTENT:Svar|Svar 4.4:5|Lösning a |Lösning 4.4:5a|Lösning b |Lösning 4.4:5b|Lösning c |Lösning 4.4:5c}} | ||
- | === | + | ===Exercise 4.4:6=== |
<div class="ovning"> | <div class="ovning"> | ||
- | + | Solve the equation | |
{| width="100%" cellspacing="10px" | {| width="100%" cellspacing="10px" | ||
|a) | |a) | ||
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</div>{{#NAVCONTENT:Svar|Svar 4.4:6|Lösning a |Lösning 4.4:6a|Lösning b |Lösning 4.4:6b|Lösning c |Lösning 4.4:6c}} | </div>{{#NAVCONTENT:Svar|Svar 4.4:6|Lösning a |Lösning 4.4:6a|Lösning b |Lösning 4.4:6b|Lösning c |Lösning 4.4:6c}} | ||
- | === | + | ===Exercise 4.4:7=== |
<div class="ovning"> | <div class="ovning"> | ||
- | + | Solve the equation | |
{| width="100%" cellspacing="10px" | {| width="100%" cellspacing="10px" | ||
|a) | |a) | ||
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</div>{{#NAVCONTENT:Svar|Svar 4.4:7|Lösning a |Lösning 4.4:7a|Lösning b |Lösning 4.4:7b|Lösning c |Lösning 4.4:7c}} | </div>{{#NAVCONTENT:Svar|Svar 4.4:7|Lösning a |Lösning 4.4:7a|Lösning b |Lösning 4.4:7b|Lösning c |Lösning 4.4:7c}} | ||
- | === | + | ===Exercise 4.4:8=== |
<div class="ovning"> | <div class="ovning"> | ||
- | + | Solve the equation | |
{| width="100%" cellspacing="10px" | {| width="100%" cellspacing="10px" | ||
|a) | |a) |
Revision as of 18:21, 3 August 2008
Theoy | Exercises |
Exercise 4.4:1
For which angles v
2
a) | | b) | |
c) | | d) | |
e) | | f) | |
g) | ![]() |
Exercise 4.4:2
Solve the equation
a) | ![]() | b) | | c) | |
d) | ![]() | e) | | f) | ![]() |
Exercise 4.4:3
Solve the equation
a) | ![]() | b) | ![]() |
c) | ![]() ![]() | d) | ![]() |
Exercise 4.4:4
Determine the angles v
360
2v+10
=cos110
Exercise 4.4:5
Solve the equation
a) | | b) | |
c) | ![]() ![]() |
Exercise 4.4:6
Solve the equation
a) | ![]() | b) | ![]() |
c) | |
Exercise 4.4:7
Solve the equation
a) | | b) | |
c) | |
Exercise 4.4:8
Solve the equation
a) | ![]() | b) | \displaystyle \sin{x}=\sqrt{3}\cos{x} |
c) | \displaystyle \displaystyle \frac{1}{\cos^2{x}}=1-\tan{x} |