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| Question 875295:  Find the exact value of sin 2u, cos 2u, and tan 2u given that the terminal sideof angle u goes through the point (1,2)
 
 Answer by lwsshak3(11628)
      (Show Source): 
You can put this solution on YOUR website! Find the exact value of sin 2u, cos 2u, and tan 2u given that the terminal sideof angle u goes through the point (1,2) ***
 you are working with a reference right triangle in quadrant I, in which:
 sin u=2/√5
 cos u=1/√5
 tan u=sin/cos=2/1=2
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 sin 2u=2sinucosu=2*2/√5*1/√5=4/5
 cos 2u=cos^2u-sin^2u=1/5-4/5=-3/5
 tan 2u=sin 2u/cos 2u=-4/3
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