Question

Find the angle A and B satisfying Cot(A+B)=1,cosec(A-B)=2

Answer 1

cot(A+B)=cot 45
Then (A+B) =45 -----------eq. 1

cosec (A-B)=cosec 30
then (A-B) =30 ---------eq.2

adding eqation 1 nd 2..
2A = 75
A = 37.5

putting the value of A in eqation 1
37.5 + B = 45
B = 7.5.

Answer 2

Hell... Ooo

cot(A+B)=cot 45
Then (A+B) =45 -------1

cosec (A-B)=cosec 30
then (A-B) =30 ---------2

Adding 1 nd 2 i got....
2A = 75
A = 37.5

putting the value of A in eqation 1
37.5 + B = 45

Hope this helps you....!!!