Question #51842

1 Answer
Nghi N
Dec 11, 2017

#sin 2t = - 24/25#

Explanation:

#sin t = - 4/5#. Find cos t.
#cos^2 t = 1 - sin^2 t = 1 - 16/25 = 9/25#
#cos t = +- 3/5#
Since t is located in Quadrant 3, cos t is positive -->
#cos t = 3/5#
Use trig identity:
sin 2t = 2sin t.cos t
In this case:
#sin 2t = 2(-4/5)(3/5) = - 24/25#

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