SOLUTION: tan (sin^-1(x))

Question 1128160: tan (sin^-1(x))
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

You are given that  

 = x   and   is between   and  ,      (1)

and they want you calculate  .


From (1),   =  =  and    is positive in the given interval.


So,   =  = .


Note that   might be positive or negative depending on the sign of "x".

You may often meet such problems in your school years - so memorize this solution and repeat it as a mantra
when you will solve similar problem next time.

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