Question

If cosec (a-b)=2,cot (a+b)=1÷squareroot3,0 <(a+b)b.find the values of a and b

Answer 1

Given

Cosec ( A - B ) = 2
And
Cot ( A + B ) = 13
Se an write these equations As :

Cosec ( A - B ) = Cosec 30 ( As we know Cosec 30 = 2 )
So,
A - B = 30 --------------------- ( 1 )
And
Cot ( A + B ) = Cot 60 ( As we know Cot 60 = 13 )
So,

A + B = 60 ---------------------- ( 2 )
Now we add equation 1 and 2 and get

2A = 90​

A = 45​ ( Substitute that value in equation 2 and get )

45​ + B = 60

B = 15​
SO,
A = 45​ And B = 15​

Answer 2

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