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Use a Double-Angle Formula to Find the Exact Value Of \cos

Question 30

Multiple Choice

Use a double-angle formula to find the exact value of cos2u\cos 2 u when sinu=513\sin u = \frac { 5 } { 13 } , where π2<u<π\frac { \pi } { 2 } < u < \pi .


A) cos2u=94169\cos 2 u = - \frac { 94 } { 169 }
B) cos2u=60169\quad \cos 2 u = \frac { 60 } { 169 }
C) cos2u=120169\cos 2 u = \frac { 120 } { 169 }
D) cos2u=119169\cos 2 u = \frac { 119 } { 169 }
E) cos2u=288169\cos 2 u = - \frac { 288 } { 169 }

Correct Answer:

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