Use the double identities to find sin2x if tan x= 12/5 and π < x < 3π/2 Please give exact answer
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Use the double identities to find sin2x if tan x= 12/5 and π < x < 3π/2 Please give exact answer

[From: ] [author: ] [Date: 12-04-30] [Hit: ]
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thanks!

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sin 2X = 2 sin X cos X

tan X = 12/5 = -12 / -5 in quadrant 3 (pi < x < 3pi/2)
opp = -12
adj = -5
hyp = 13

sin X = -12 / 13
cos X = -5 / 13

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