Use the identity:Originally Posted by ^_^Engineer_Adam^_^
sin(u + v) = sin(u) cos(v) + cos(u) sin(v)
with v=u=4x, then multiply the whole thing by 3.
You can make it correct by definiton . It has the propery that,Originally Posted by ThePerfectHacker
when it should be and,
when it should be.
But that is not ideal.
Note: If you want to use the radical method you cannot write,
. Because the expression would not be well-definied, i.e. not a function. My way through the H4X function is ye only way.
I found a way, but it's not worth the trouble . . .
from the identity:
Square the given identity:
. . \cos u\cos v - \sin u\sinv)^2" alt="\cos^2(u + v)\:=\\cos u\cos v - \sin u\sinv)^2" />
Subtract from 1:
Add and subtract and
. . + cosēv + sinēv - cosēv - sinēv
Note that: . . . and we have:
I need a nap . . .