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cos B= 0.2345

Solve for B

 Dec 20, 2016
edited by Guest  Dec 20, 2016
edited by Guest  Dec 20, 2016

Best Answer 

 #12
avatar+36919 
+5

Clarification

IF B is in degrees   then B = arcos (.2345) = 76.437 DEGREES

 

If B is in RADIANS    then arccos(.2345) = 1.334092132482  RADIANS

 

The question does not say if B is in degrees or radians!!!

 Dec 20, 2016
 #1
avatar+36919 
+5

arc cos b = b = arc cos .2345 = acos(.2345) = 76.437848672801 degrees

 Dec 20, 2016
 #3
avatar+1904 
0

Your answer of 76.437848672801 degrees is incorrect because 9.2345 is not in degrees but in radians.  In order for 0.2345 to be in degrees instead of radians, it need to have the degree symbol: 0.2345°.

gibsonj338  Dec 20, 2016
 #4
avatar+1904 
0

EDIT: 0.2345 not 9.2345.

gibsonj338  Dec 20, 2016
 #14
avatar+118613 
0

Hi

I have never seen a degrees sign after the ratio value like you are talking about Gibsonj338.

I accept that it is what you have been taught but it may not be a universally used notation.

To me an answer in degrees or in radians is equally acceptable. 

Melody  Dec 20, 2016
 #2
avatar+1904 
+1

\(cos(B)=0.2345\)

 

\({cos}^{-1}(cos(B))={cos}^{-1}(0.2345)\)

 

\(B= 1.334092132482°\)

.
 Dec 20, 2016
 #6
avatar+36919 
0

Your answer should be in radians ...not degrees

ElectricPavlov  Dec 20, 2016
 #5
avatar+36919 
0

Sorry....I disagree Gibson    the .2345 is the cosine of B  which is only a numerical value between 1 and -1    B MIGHT BE in DEGREES OR RADIANS.....the question does not state which...I used the more common degrees.

 Dec 20, 2016
 #7
avatar+1904 
0

Read my post to you.  You can disagree with me all you want, but you are wrong.  No degree symbol next to the number mean radians,  Degree symbol next to the number means degrees.

gibsonj338  Dec 20, 2016
 #10
avatar+1904 
0

Also, to find out what B is, you cannot take an inverse cosine number in degrees and get an answer in degrees.  You can only take a inverse cosine number in radians and get a number in degrees.  The answer has to be in degrees.

gibsonj338  Dec 20, 2016
 #8
avatar+9 
+5

What about sin B = 0.7071 This is equal to 45degrees so why does cosB= 0.2345 have a much lower answer?

 Dec 20, 2016
 #11
avatar+36919 
+5

Cos starts at 1   for 0 degrees and goes to    a value of zero  at 90 degrees.

ElectricPavlov  Dec 20, 2016
 #9
avatar+36919 
+5

You are incorrect Gibson, sorry      cos (76.437 DEGREES) = .2345     NOT .2345 degrees !!!

 Dec 20, 2016
 #12
avatar+36919 
+5
Best Answer

Clarification

IF B is in degrees   then B = arcos (.2345) = 76.437 DEGREES

 

If B is in RADIANS    then arccos(.2345) = 1.334092132482  RADIANS

 

The question does not say if B is in degrees or radians!!!

ElectricPavlov Dec 20, 2016
 #13
avatar+128731 
+5

cos B= 0.2345

 

We are asking........at  what  rad measure  [or degree measure ] does the cosine = 0.2345 ???

 

So....arccos (0.2345)    =  1.334092 rads  = 76.44°

 

 

 

cool cool cool

 Dec 20, 2016

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