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if there is a right triangle ABC and the tangent B is 8/15 what is the cosine of A

 May 4, 2014

Best Answer 

 #1
avatar+33654 
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The tangent is opposite over adjacent, so if we let opposite be 8 and adjacent be 15 then the hypotenuse is 

82+152=17

cosine is adjacent over hypotenuse, so cos(B) = 15/17.  Angle A must be the other angle (not the right-angle) so we must have cos(A) = 8/17.

Even if the sides are not actually 8, 15 and 17 they must all be a scale factor times those values.  The scale factor will cancel out of the ratios when determining cos, sin and tan.

 May 4, 2014
 #1
avatar+33654 
+5
Best Answer

The tangent is opposite over adjacent, so if we let opposite be 8 and adjacent be 15 then the hypotenuse is 

82+152=17

cosine is adjacent over hypotenuse, so cos(B) = 15/17.  Angle A must be the other angle (not the right-angle) so we must have cos(A) = 8/17.

Even if the sides are not actually 8, 15 and 17 they must all be a scale factor times those values.  The scale factor will cancel out of the ratios when determining cos, sin and tan.

Alan May 4, 2014

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