Question

Find acute angles A and B satisfying cot(A + B) = 1, cosec(A - B) = 2

Answer 1

Step-by-step explanation:

cot (A+B)=1. cosec(A-B)=2

A+B=45 (cot 45=2). ----–-----(1)

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

A-B=30

A=30+B

putting the value of A in equation (1)

30+B+B=45

2B=45-30

2B=15

B=15/2

putting the value of B in equation (1)

A+15/2=45

A+15=45×2

A+15=90

A=90-15

A=75