Question

Cosec (A+B) =2 ; cot (A+B) =1/root 3

Answer 1

Answer:

A=45° and B=15°

Step-by-step explanation:

Cosec(A-B)= 2

Cosec(A-B)=Cosec 30

so, A - B= 30 Equation 1

Cot(A+B)=1/root3

Cot(A+B))= Cot 60

so, A+B=60 Equation 2

Adding eq 1 and 2 we have

A - B = 30

A + B = 6

So, 2A=90

A= 45

putting value of A in eq 2 we get

A + B = 60

45 + B = 60

B = 60 - 45

B = 15

Hence, Value of A = 45 and value of B = 15