if angle B and angle Q acute angles such that sin B = sin Qthen prove that angle B=angle Q

Asked by sunnyjune30 | 6th May, 2011, 12:00: AM

Expert Answer:

It is given that sin B = sin Q
Clearly, since B and Q are acute angles, angle B = angle Q.
(As sine of two acute angles will be equal if and only if they are both equal)
 
You can prove this also by considering a right triangle ABQ.
Since, B and Q are acute angles, angle B is right angle.
Then, sinQ = AB/AQ
sin B = BQ/ AQ
 
Now, sin B = sin Q implies, AB = BQ
This gives angle B = angleQ

Answered by  | 5th May, 2011, 10:37: PM

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