If sec A . sin(36+A) =1, find the value of A so that A and (36+A) are acute angles
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Solution :
secA . sin( 36 + A ) = 1
=> sin( 36 + A ) = 1/secA
=> sin( 36 + A ) = cosA
=> sin( 36 + A ) = sin( 90 - A )
=> 36 + A = 90 - A
=> A + A = 90 - 36
=> 2A = 54
=> A = 54/2
=> A = 27°
••••
secA . sin( 36 + A ) = 1
=> sin( 36 + A ) = 1/secA
=> sin( 36 + A ) = cosA
=> sin( 36 + A ) = sin( 90 - A )
=> 36 + A = 90 - A
=> A + A = 90 - 36
=> 2A = 54
=> A = 54/2
=> A = 27°
••••
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