1.

If `sin(A+B)=(sqrt(3)+1)/(2sqrt(2))` and `secA=2`, then the value of B in circular measure is _____A. `(pi)/(12)`B. `(3pi)/(5)`C. `(7pi)/(5)`D. `(5pi)/(12)`

Answer» Correct Answer - A
`sin(A+B)=(sqrt(3)+1)/(2sqrt(2))`
`sin(A+B)=sin75^(@)`
`A+B=75^(@)`
` secA=2`
`secA=sec60^(@)`
`A=60^(@)`
Substitute the value of A in Eq. (1),
`60^(@)+B=75^(@)`
`B=15^(@)`
In circular measure,
`B=150^(@)xx(pi)/(180^(@))=(pi^( c))/(12)`.


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