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Chidozie Nnachor asked Oct 17, 2023

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Chidozie Nnachor asked Oct 17, 2023

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16 votes

Answer:

-120/169

Explanation:

$sin(\theta) = \pm\sqrt{1-\cos^2{\theta}}=\pm\sqrt{1-((5)/(13))^2}=\pm\sqrt{1-(25)/(169)}=\pm\sqrt{(144)/(169)}=\pm(12)/(13)$

In Quadrant IV, sinθ < 0

so sinθ = -12/13

sin2θ = 2 sinθ cosθ = 2 (5/13) (-12/13) = -120/169

Craig Jones answered Oct 22, 2023

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