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what are the sin and cos of tan(x) = 2sqrt6

 May 3, 2017
 #1
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tan(x) = 2sqrt6

 

y = 2sqrt(6)    and x  = 1

 

So 

 

r  = sqrt  [ (2sqrt (6) )^2  + 1^2 ]  =  sqrt [ 24 + 1]  =  sqrt (25)  =   5

 

So

 

sin (x)   = y / r  =  2sqrt(6) / 5    =     sqrt (24) / 5

 

cos (x)  =   x  / r   =    1 / 5

 

 

cool cool cool

 May 3, 2017

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