SOLUTION: Determine the values of sin2x, cos2x, and tan2x: Sinx=3/5, and x is acute

, and x is acute

Since 

We can let the opposite side be the numerator of ,
which is , and the hypotenuse be the denominator
of  which is , so we draw this picture:

 


Now we find the adjacent side by the Pythagorean theorem:








So we label the adjacent side as 



To find , we use this identity:



We are given  but we do not have .

Since 








To find , we use this identity:



.

To find , we can use this identity:







Edwin