Suppose that cos (t) = 5/13, where t is the fourth quadrant. find sin (2t)

Question

Mathematics

Emiliano Herring

6 July, 11:22

Suppose that cos (t) = 5/13, where t is the fourth quadrant. find sin (2t)

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Talon Bullock · Answer 1

Given that cos (t) = 5/13

t is in fourth quadrant, so sint0

So sint = - sqrt (1-cos^2 (t)) = - sqrt (1-25/169) = - sqrt ((169-25) / 169) = - 12/13

Sin (2t) = 2sin (t) cos (t) = 2*-12/13 * 5/13 = - 120/169