1.

If `tan(A-B)=1 and sinA(+B)=(sqrt(3))/(2)`, then find B.A. `42(1^(@))/(2)`B. `7(1^(@))/(2)`C. `15(1^(@))/(2)`D. `60^(@)`

Answer» Correct Answer - B
(i) Use `tan45^(@)=1 and sin60^(@)=(sqrt(3))/(2)`.
(ii) If `tan(A-B)=1, " then " A-B=45^(@)`.
(iii) If ` sin(A+B)=(sqrt(3))/(2), " then " A+B=60^(@)`.
(iv) Subtract the above tow equations and find B.


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