SOLUTION: Use the given information to find cos 2x, sin 2x, and tan 2x. (Enter your answers in exact form.) sin x = (SQRT Root 3/ 5) , &#960;/2 < x < &#960;

Algebra ->  Trigonometry-basics -> SOLUTION: Use the given information to find cos 2x, sin 2x, and tan 2x. (Enter your answers in exact form.) sin x = (SQRT Root 3/ 5) , &#960;/2 < x < &#960;      Log On


   

Question 873905: Use the given information to find cos 2x, sin 2x, and tan 2x. (Enter your answers in exact form.)
sin x = (SQRT Root 3/ 5) , π/2 < x < π
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Use the given information to find cos 2x, sin 2x, and tan 2x. (Enter your answers in exact form.)
sin x = (SQRT Root 3/ 5) , π/2 < x < π
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sinx=sqrt%283%29%2F5
cosx=-sqrt%281-sin%5E2%28x%29%29=-sqrt%281-3%2F25%29=-sqrt%2822%2F25%29=-sqrt%2822%29%2F5
tanx=%28sinx%2Fcosx%29=-sqrt%283%2F22%29
...
cos%282x%29=cos%5E2%28x%29-sin%5E2%28x%29=22%2F25-3%2F25=19%2F25