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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^(@)` |
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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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