1.

If ` sin (A+B)=(sqrt(3))/(2)` and cosec A=2, then find A and B.

Answer» Given , `sin(A+B)=(sqrt(3))/(2)`
`sin(A+B)=sin60^(@)`
`A+B=60^(@)" " ` (1)
`"cose"A=2="cosec"30^(@)`
`A=30^(@) " "`(2)
From Eqs. (1) and (2) , we have
`A=30^(@) and B=30^(@)`


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