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let cos(x+y) = 4/5 and sin(x-y) = 5/13 then tan2x =

let cos(x+y) = 4/5 and sin(x-y) = 5/13 then tan2x =                    


 

Grade:11

1 Answers

Kaushik Kumar
32 Points
10 years ago

tan 2x = tan(x+y + x-y)

         ={tan(x+y)+tan(x-y)}/(1-tan(x+y)tan(x-y))

   ={3/4+5/12}/(1-3/4*5/12)

 =56/33


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