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22 September, 18:14

If A is an obtuse angle in a triangle and sin A is 5/13, calculate the exact value of sin 2A

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  1. 22 September, 20:53
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    Cos A = √ (1 - (5/13) ²) = √ (1 - 25/169) = √ (144/169) = - 12 / 13 (it is negative because A is an obtuse angle).

    sin 2 A = 2 sin A cos A

    sin 2 A = 2 · 5/13 · ( - 12/13) = - 120 / 169
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