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If in a triangle ABC B = 60 degrees and sinA.sinC = ∂ . Find all possible values of ∂.

 
If in a triangle ABC  B = 60       degrees and sinA.sinC = ∂ . Find all possible values of ∂.

Grade:11

1 Answers

Ravi
askIITians Faculty 69 Points
9 years ago
Express C=120-A and solvesinA.sinC = ∂ to get the trigonometric solution of the eqn.

One such solution I got was a single trigonometric ratio , namely Cos(2A+60)=1/4-2∂

As -1<=Cos(2A+60)<=1

Using this inequality, you can get the values/ range of∂.

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