Find angle B if Tan(A-B)=1/root3 and SinA= Root 3/2 and also find cos (A,B <90).
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♧♧SOLUTION♧♧
Given :
sinA = (root over 3)/2
=> sinA = Sin60
=> A = 60°
So, cosA = cos60° = 1/2.
Also given :
tan(A - B) = 1/(root over 3)
=> tan(60-B) = tan30
=> 60 - B = 30
=> B = 30
So, B angle = 30°
So, cosB = cos30 = (root over 3)/2
⬆HOPE THIS HELPS YOU⬅
♧♧SOLUTION♧♧
Given :
sinA = (root over 3)/2
=> sinA = Sin60
=> A = 60°
So, cosA = cos60° = 1/2.
Also given :
tan(A - B) = 1/(root over 3)
=> tan(60-B) = tan30
=> 60 - B = 30
=> B = 30
So, B angle = 30°
So, cosB = cos30 = (root over 3)/2
⬆HOPE THIS HELPS YOU⬅
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