SOLUTION: From the figure, find the exact values of sin 2u, cos 2u, and tan 2u Figure: https://s30.postimg.org/5bufl6abl/figure_23.png Thank you!

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Question 1067577: From the figure, find the exact values of sin 2u, cos 2u, and tan 2u
Figure: https://s30.postimg.org/5bufl6abl/figure_23.png
Thank you!
Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

From the figure, find the exact values of sin 2u, cos 2u, and tan 2u
Figure: https://s30.postimg.org/5bufl6abl/figure_23.png
Thank you!
Opposite side: 2           Adjacent side: 1          r%5E2+=+2%5E2+%2B+1%5E2
                                                     r%5E2+=+4+%2B+1
                                                     Hypotenuse, or r = sqrt%285%29

sin+%28u%29+=+2sqrt%285%29%2F5               cos+%28u%29+=+sqrt%285%29%2F5               tan+%28u%29+=+2

sin+%282u%29  = 2+sin+%28u%29+cos+%28u%29
highlight_green%28sin+%282u%29%29 = 



cos+%282u%29  = 2+cos%5E2+%28u%29+-+1
highlight_green%28cos+%282u%29%29 = 



tan+%282u%29  = %282+tan+%28u%29%29%2F%281+-+tan%5E2+%28u%29%29
highlight_green%28tan+%282u%29%29 =