If sin (a+b) = 1 and cos (a-b) = 1 , find a and b .
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Answer :
a=45
b=45
Step-by-step explanation:
=> sin ( a + b ) = 1
=> sin ( 90 ) = 1
∴ 90 = a + b _____ ( 1 )
=> cos ( a - b ) = 1
=> cos ( 0 ) = 1
∴ 0 = a - b _____ ( 2 )
Add ( 1 ) and ( 2 )
=> 0 + 90 = a + b + a - b
=> 90 = 2 × a
=> a = 45
From ( 2 )
=> a - b = 0
=> b = a
=> b = 45
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