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If 0≤α,β≤90 degrees and tan⁡(α+β)=3 and tan⁡(α-β)=2,then value of sin2α is?

If 0≤α,β≤90 degrees and  tan⁡(α+β)=3 and tan⁡(α-β)=2,then value of sin2α is?

Grade:12

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
7 years ago
Hint:
First find the value of tan 2alpha and from here you can easily get the value of sin 2alpha.

Now to find tan 2alpha, we can write tan 2alpha = tan[(alpha + beta)+(alpha-beta)]. Now here apply the formula for tan(A+B) and get its value.

Thanks, Vijay

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