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Answer:
If sin B = cos(2B-30) Where 2B is an acute angle , then B =_____?
Sin B = cos(2B- 30)...........(1) [given]
We know that,
Sin b = cos(90-B).........(2)
Now, from equation (1) & (2) we get:-
=> cos(2B-30) = cos(90-B)
Therefore,
=> 2B-30=90-B
=> 2B+B=90+30
=> 3B = 120
=> B = 120/3
=> B = 40
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