+0  
 
+10
660
8
avatar+1833 

Evaluate inverse trig functions

 Feb 4, 2017

Best Answer 

 #6
avatar+9778 
+10

The principal value is

 

arc cos 0.1 = 84.3°

 

but also

 

cos -635.7° ≈ 0.1

cos -275.7° ≈ 0.1

cos 84.3° ≈ 0.1

cos 444.3° ≈ 01

 

laugh  !

 Feb 4, 2017
 #1
avatar+110153 
+10

acos(0.1 = 84.260829522733

 Feb 4, 2017
 #2
avatar+111438 
+10

arcos (0.10)  ≈ 84.3°

 

 

cool cool cool

 Feb 4, 2017
 #3
avatar+110153 
0

What took you so long Chris  cheeky

Melody  Feb 4, 2017
 #4
avatar+111438 
0

Hey...don't get smart with me, young lady......!!!!

 

 

cool cool cool

 Feb 4, 2017
 #5
avatar+110153 
0

Yes ...   What you going to do about it ??     laugh surprise laugh

Melody  Feb 4, 2017
 #6
avatar+9778 
+10
Best Answer

The principal value is

 

arc cos 0.1 = 84.3°

 

but also

 

cos -635.7° ≈ 0.1

cos -275.7° ≈ 0.1

cos 84.3° ≈ 0.1

cos 444.3° ≈ 01

 

laugh  !

asinus Feb 4, 2017
 #7
avatar+8336 
+5

The principal value is always between \(0^{\circ} - 90^{\circ}\)

 

So 84.3\(^{\circ}\) is definitely the correct answer.

 Feb 4, 2017
 #8
avatar+26004 
+5

Agree,   mostly......    the principal value for inverse COS is between  0 and pi/2  (inclusive)  for POSITIVE values of COS.

FWIW.

ElectricPavlov  Feb 4, 2017

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