Question

14) Find the acute angles A and B satisfying
1) cot (A + B) = 1, cosec (A-B) = 2, [A=37
ii) sec A cot B - sec A-2 cot B + 2 = 0 [A = 60​

Answer 1

Explanation:

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.