2008-10-02, 05:21 PM
cos²(u) + sin²(u) = 1
Holds valid, as long as the arguments of the trigonometric functions, u, are the same.
So, since u = 2t, it would be true for
cos²(2t) + sin²(2t) = 1
But not true for
cos²(2t) + sin²(3t) = 1
since 2t is not equal 3t (unless t = 0).
And yes, I do believe that is the correct solution for the integral.
Holds valid, as long as the arguments of the trigonometric functions, u, are the same.
So, since u = 2t, it would be true for
cos²(2t) + sin²(2t) = 1
But not true for
cos²(2t) + sin²(3t) = 1
since 2t is not equal 3t (unless t = 0).
And yes, I do believe that is the correct solution for the integral.