Question

8. If cosec(A – B) = 2 & cot(A + B) = 1 √3 , find A & B.

Answer 1

Answer:

a=45 degree , b= 15 degree

Step-by-step explanation:

cosec (a-b)=2

now , cosec 30=2

so , (a-b)=30 degree

cot (a+b)=1/√3

cot 60 is also 1/√3

so, (a+b)=60

now we have two equations to solve simultaneously

a-b=30…(1)

a+b=60…(2)

so, adding the equations , we get

2a=90

a=45 degree

now , substituting value of a in eqn (1)

45-b=30

-b=30-45

-b=-15

b=15 degree

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