Question

If sin A-B=1/2 , cos A+B=1/2 ,Then Find The Value of A & B .

Answer 1

hey there ✌✌✌⭐⭐⭐☺☺☺ here's the answer.....

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.

hope it helps you ✔✔✌✌⭐⭐☺☺☺☺☺☺

Answer 2

Answer:

Given,

sin A-B = 1/2

cos A+B = 1/2

to find : value of A and B

Explanation:

Sin 30° = 1/2

Sin A-B = Sin 30°

Cos 60° = 1/2

Cos A+ B = Cos 60°

A-B = 30

A+B = 60

equating these equations,

2A = 90

A = 45°

putting this value in the equation, we get the value of B

B = 15°