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Question

If sin 3A=cos(A10o) and 3A is acute then, find A .

A
25o
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B
30o
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C
50o
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D
15o
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Solution

The correct option is A 25o

Given: sin 3A=cos(A10o)

sin 3A=cos(90o3A)....(sin θ=cos(90oθ))

cos(90o3A)=cos(A10)90o3A=A10o100o=4AA=25o


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