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In triangle ABC, sin A= 12/13. What is cos B?

 Apr 20, 2015

Best Answer 

 #2
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If sin(A) = 12/13, then the value of the side opposite angle A is 12 and the value of the hypotenuse is 13.

To find the third side (the side adjacent to angle A) can be found by using the Pythagorean Theorem:

  c2  =  a2 + b  --->    132  =  122 + b2  --->   169  =  144 + b2   --->   b2  =  25   --->   b = 5   

Since the adjacent side has a value of 5 and the hypotenuse has a value of 13,

cos(A)  =  adj/hyp  =  5/13.

 Apr 20, 2015
 #1
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???????? IDK Ask someone who is smart.

 Apr 20, 2015
 #2
avatar+23247 
+5
Best Answer

If sin(A) = 12/13, then the value of the side opposite angle A is 12 and the value of the hypotenuse is 13.

To find the third side (the side adjacent to angle A) can be found by using the Pythagorean Theorem:

  c2  =  a2 + b  --->    132  =  122 + b2  --->   169  =  144 + b2   --->   b2  =  25   --->   b = 5   

Since the adjacent side has a value of 5 and the hypotenuse has a value of 13,

cos(A)  =  adj/hyp  =  5/13.

geno3141 Apr 20, 2015

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