Question

if sin(A-B)=1/2 and cos (A+B)=1/2, then values of A and B respectively are??​

Answer 1

sinA-B= 1/2

=> sin A-B =sin 30°

=>. A-B=30°......(I)

also,. cos A+B=1/2

=>cos A+B=cos 60°

=> A+B=60°.......(ii)

by adding (I) and (ii),we get...

2A=90°

=>A= 45°{answer}

putting the value of A in (ii),we get...

45°+B=60°

=>B=60°-45°

=>B=15°{answer}

hence the value of A and B are 45°and 15° respectively.

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