Answer
$ - \dfrac{4}{5}$
Work Step by Step
$\sin{t} =\dfrac{\sqrt{5}}{5} \hspace{20pt} \cos{t} = \dfrac{-2\sqrt{5}}{5}$
$\sin{2t} = 2 \sin{t} \cos{t} = 2 \times \dfrac{\sqrt{5}}{5} \times \dfrac{-2\sqrt{5}}{5}$
$\sin{2t} = - \dfrac{4}{5}$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
Published by
Cengage Learning
ISBN 10:
1111826854
ISBN 13:
978-1-11182-685-7
Chapter 5 - Section 5.3 - Double-Angle Formulas - 5.3 Problem Set - Page 296: 20
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
