Question

Sin a + b equal to 1 sin a minus b equal to one and half

Answer 1

Solution :

Given

i ) sin(A+B) = 1

=> sin(A+B) = sin90°

=> A+B=90° ----( 1 )

ii ) Sin(A-B) = 1/2

=> sin(A-B) = sin30°

=> A-B=30°-----( 2 )

Add equations (1) and (2),

we get

2A = 120°

=> A = 60°

Substitute A = 60° in equation

( 1 ) , we get

60° + B = 90°

=> B = 90° - 60°

=> B = 30°

Therefore ,

A = 60° , B = 30°

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