Question

sin(A-B)=1/2,cos(A+B)=1/2,then find A and B

Answer 1

Given: sin (A+B)=1/2
cos (A+B)=1/2

We know that Sin (A-B)=sin30 degree
so, A-B=30- - - - - >1

We know that cos (A+B)=1/2
cos(A+B)=cos60 degree
A+B=60- - - - - - - - >2

adding 1 & 2,
we get 2A=90 degree
A=45 degrees.

Substituting A value in 1,
We get B=15 degrees.



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Answer 2

Heya user !!!

Here's the answer you are looking for

sin(A - B) = 1/2

We know sin 30 = 1/2

So, A - B = 30 ———— (1)

Also, cos (A + B) = 1/2

We know cos 60 = 1/2

So, A + B = 60 ———— (2)

Adding (1) and (2), we get,

2A = 90
A = 90/2 = 45

A + B = 60
45 + B = 60
B = 60 - 45 = 15

Therefore, A is 45° and B is 15°


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