Verified answer

sin2θ = 2sinθcosθ = 2(5/13)(12/13) = 120/169

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Ideas to save time: Use 5-12-13 Pythagorean triple.

i ll use A instead of theta

sin 2A = 2 sin A . cos A

cos A = 12 / 13

sin^2 A = 1 - cos^2 A

if u calculate value of sin A comes out to be 5/13

sin 2 A = 2 sin A cos A

= 2 X 5/13 X 12/13

= 120/ 169

ANS- B